What is the Least Common Multiple of 95310 and 95328?

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 95310 and 95328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95310 and 95328, than apply into the LCM equation.

GCF(95310,95328) = 18
LCM(95310,95328) = ( 95310 × 95328) / 18
LCM(95310,95328) = 9085711680 / 18
LCM(95310,95328) = 504761760

Least Common Multiple (LCM) of 95310 and 95328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95310 and 95328. First we will calculate the prime factors of 95310 and 95328.

Prime Factorization of 95310

Prime Factorization of 95328

Now multiplying the highest exponent prime factors to calculate the LCM of 95310 and 95328.

LCM(95310,95328) = 2⁵ × 3³ × 5¹ × 353¹ × 331¹
LCM(95310,95328) = 504761760