What is the Least Common Multiple of 71953 and 71957?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 71953 and 71957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71953 and 71957, than apply into the LCM equation.

GCF(71953,71957) = 1
LCM(71953,71957) = ( 71953 × 71957) / 1
LCM(71953,71957) = 5177522021 / 1
LCM(71953,71957) = 5177522021

Least Common Multiple (LCM) of 71953 and 71957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71953 and 71957. First we will calculate the prime factors of 71953 and 71957.

Prime Factorization of 71953

Prime Factorization of 71957

Now multiplying the highest exponent prime factors to calculate the LCM of 71953 and 71957.

LCM(71953,71957) = 7¹ × 19¹ × 541¹ × 47¹ × 1531¹
LCM(71953,71957) = 5177522021