Find the Greatest Common Factor and Least Common Multiple of 10 and 70, 22 and 88

| July 22, 2021 | education

In order to find the least common multiple (LCM) of these natural numbers, we decompose the numbers into prime factors, then it is necessary to multiply all the prime factors of the first number and multiply by those prime factors that are missing in the first number among the prime factors of the second.

LCM is the smallest natural number that is divisible without a remainder by each of the melon numbers.

In order to find the greatest common divisor (GCD) of natural numbers, it is necessary to decompose the numbers into prime factors, determine the same prime factors and multiply them.

GCD is the largest natural number by which each of these numbers can be divided without a remainder.

10 = 2 * 5;

70 = 2 * 5 * 7;

GCD (10; 70) = 2 * 5 = 10;

LCM (10; 70) = 2 * 5 * 7 = 70;

22 = 2 * 11;

88 = 2 * 2 * 2 * 11;

GCD (22; 88) = 2 * 11 = 22;

LCM (22; 88) = 2 * 11 * 2 * 2 = 88.



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