Question

using prime factorisation find kam and hcm of 16and20​

Answer 1

The lcm of 16 and 20 can be obtained like this:

The multiples of 16 are … , 64, 80, 96, ….

The multiples of 20 are …, 60, 80, 100, …

The common multiples of 16 and 20 are n x 80, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n

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=0∈Z.

In the intersection multiples of 16 ∩ multiples of 20 the least positive element is 80.

Therefore, the least common multiple of 16 and 20 is 80...

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Answer 2

Answer:

• The least multiple on the two lists that they have in common is the LCM of 36 and 84. Therefore, the LCM of 36 and 84 is 252.
• The highest common factor of 36 and 84. 12

Explanation

36 = 22 x 32

84 = 22 x 3 x 7

H.C.F. = 22 x 3 = 12.