What is the Least Common Multiple of 95376 and 95380?

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 95380 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 95380, than apply into the LCM equation.

GCF(95376,95380) = 4
LCM(95376,95380) = ( 95376 × 95380) / 4
LCM(95376,95380) = 9096962880 / 4
LCM(95376,95380) = 2274240720

Least Common Multiple (LCM) of 95376 and 95380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95376 and 95380. First we will calculate the prime factors of 95376 and 95380.

Prime Factorization of 95376

Prime Factorization of 95380

Now multiplying the highest exponent prime factors to calculate the LCM of 95376 and 95380.

LCM(95376,95380) = 2⁴ × 3¹ × 1987¹ × 5¹ × 19¹ × 251¹
LCM(95376,95380) = 2274240720