What is the Least Common Multiple of 95564 and 95571?

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 95564 and 95571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95564 and 95571, than apply into the LCM equation.

GCF(95564,95571) = 7
LCM(95564,95571) = ( 95564 × 95571) / 7
LCM(95564,95571) = 9133147044 / 7
LCM(95564,95571) = 1304735292

Least Common Multiple (LCM) of 95564 and 95571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95564 and 95571. First we will calculate the prime factors of 95564 and 95571.

Prime Factorization of 95564

Prime Factorization of 95571

Now multiplying the highest exponent prime factors to calculate the LCM of 95564 and 95571.

LCM(95564,95571) = 2² × 7¹ × 3413¹ × 3² × 37¹ × 41¹
LCM(95564,95571) = 1304735292