What is the Least Common Multiple of 95376 and 95394?

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 95394 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 95394, than apply into the LCM equation.

GCF(95376,95394) = 6
LCM(95376,95394) = ( 95376 × 95394) / 6
LCM(95376,95394) = 9098298144 / 6
LCM(95376,95394) = 1516383024

Least Common Multiple (LCM) of 95376 and 95394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95376 and 95394. First we will calculate the prime factors of 95376 and 95394.

Prime Factorization of 95376

Prime Factorization of 95394

Now multiplying the highest exponent prime factors to calculate the LCM of 95376 and 95394.

LCM(95376,95394) = 2⁴ × 3¹ × 1987¹ × 13¹ × 1223¹
LCM(95376,95394) = 1516383024