Question

Найдите наименьшее общее кратное чисел m и n, если m = 3*3*5*7, n = 2*3*3*5*5*7, спасибо заранее.

Answer 1

M=315; n=3150=> НОК=3150

Answer 2

Finding the Least Common Multiple (LCM) of m and n

To find the least common multiple (LCM) of two numbers, we need to factorize the numbers into their prime factors and then take the highest power of all prime factors present in the factorization of both numbers.

Given: - m = 3 * 3 * 5 * 7 - n = 2 * 3 * 3 * 5 * 5 * 7

Prime Factorization of m and n

The prime factorization of m and n is as follows: - m = 3^2 * 5 * 7 - n = 2 * 3^2 * 5^2 * 7

Calculating the LCM

To find the LCM, we take the highest power of all prime factors present in the factorization of both numbers: - LCM = 2 * 3^2 * 5^2 * 7

Therefore, the least common multiple (LCM) of m and n is 2 * 3^2 * 5^2 * 7.