What is the Least Common Multiple of 95376 and 95382?

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 95376 and 95382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95376 and 95382, than apply into the LCM equation.

GCF(95376,95382) = 6
LCM(95376,95382) = ( 95376 × 95382) / 6
LCM(95376,95382) = 9097153632 / 6
LCM(95376,95382) = 1516192272

Least Common Multiple (LCM) of 95376 and 95382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95376 and 95382. First we will calculate the prime factors of 95376 and 95382.

Prime Factorization of 95376

Prime Factorization of 95382

Now multiplying the highest exponent prime factors to calculate the LCM of 95376 and 95382.

LCM(95376,95382) = 2⁴ × 3² × 1987¹ × 7¹ × 757¹
LCM(95376,95382) = 1516192272