What is the Least Common Multiple of 95328 and 95334?

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 95328 and 95334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95328 and 95334, than apply into the LCM equation.

GCF(95328,95334) = 6
LCM(95328,95334) = ( 95328 × 95334) / 6
LCM(95328,95334) = 9087999552 / 6
LCM(95328,95334) = 1514666592

Least Common Multiple (LCM) of 95328 and 95334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95328 and 95334. First we will calculate the prime factors of 95328 and 95334.

Prime Factorization of 95328

Prime Factorization of 95334

Now multiplying the highest exponent prime factors to calculate the LCM of 95328 and 95334.

LCM(95328,95334) = 2⁵ × 3² × 331¹ × 15889¹
LCM(95328,95334) = 1514666592