Question

the L.C.M of 59 and 23​

Answer 1

Answer: The lcm of 59 and 23 can be obtained like this:

The multiples of 59 are … , 1298, 1357, 1416, ….

The multiples of 23 are …, 1334, 1357, 1380, …

The common multiples of 59 and 23 are n x 1357, intersecting the two sets above,

n

ϵ

Z

.

In the intersection multiples of 59 ∩ multiples of 23 the least positive element is 1357.

Therefore, the least common multiple of 59 and 23 is 1357.