LCM the 16 and 20 is the the smallest number among all typical multiples of 16 and also 20. The first few multiples that 16 and also 20 space (16, 32, 48, 64, 80, 96, . . . ) and also (20, 40, 60, 80, 100, . . . ) respectively. There room 3 typically used methods to uncover LCM the 16 and also 20 - by department method, by element factorization, and by listing multiples.

You are watching: Lowest common multiple of 20 and 16

1. | LCM of 16 and also 20 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 16 and also 20 is 80.

**Explanation: **

The LCM of two non-zero integers, x(16) and also y(20), is the smallest confident integer m(80) that is divisible by both x(16) and y(20) without any type of remainder.

Let's look in ~ the different methods for finding the LCM that 16 and 20.

By department MethodBy element Factorization MethodBy Listing Multiples### LCM the 16 and 20 by department Method

To calculation the LCM of 16 and 20 by the division method, we will divide the numbers(16, 20) by your prime factors (preferably common). The product of this divisors offers the LCM of 16 and also 20.

**Step 3:**proceed the procedures until only 1s room left in the critical row.

The LCM that 16 and also 20 is the product of every prime numbers on the left, i.e. LCM(16, 20) by department method = 2 × 2 × 2 × 2 × 5 = 80.

### LCM that 16 and also 20 by element Factorization

Prime administrate of 16 and 20 is (2 × 2 × 2 × 2) = 24 and (2 × 2 × 5) = 22 × 51 respectively. LCM that 16 and also 20 can be derived by multiplying prime determinants raised to your respective greatest power, i.e. 24 × 51 = 80.Hence, the LCM the 16 and 20 by element factorization is 80.

### LCM of 16 and also 20 by Listing Multiples

To calculation the LCM of 16 and also 20 by listing out the usual multiples, we can follow the given below steps:

**Step 1:**list a couple of multiples that 16 (16, 32, 48, 64, 80, 96, . . . ) and also 20 (20, 40, 60, 80, 100, . . . . )

**Step 2:**The usual multiples indigenous the multiples of 16 and 20 space 80, 160, . . .

**Step 3:**The smallest usual multiple that 16 and 20 is 80.

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∴ The least common multiple the 16 and 20 = 80.