What is the Least Common Multiple of 95364 and 95376?

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 95364 and 95376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95364 and 95376, than apply into the LCM equation.

GCF(95364,95376) = 12
LCM(95364,95376) = ( 95364 × 95376) / 12
LCM(95364,95376) = 9095436864 / 12
LCM(95364,95376) = 757953072

Least Common Multiple (LCM) of 95364 and 95376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95364 and 95376. First we will calculate the prime factors of 95364 and 95376.

Prime Factorization of 95364

Prime Factorization of 95376

Now multiplying the highest exponent prime factors to calculate the LCM of 95364 and 95376.

LCM(95364,95376) = 2⁴ × 3³ × 883¹ × 1987¹
LCM(95364,95376) = 757953072