What is the Least Common Multiple of 95238 and 95256?

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 95238 and 95256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95238 and 95256, than apply into the LCM equation.

GCF(95238,95256) = 18
LCM(95238,95256) = ( 95238 × 95256) / 18
LCM(95238,95256) = 9071990928 / 18
LCM(95238,95256) = 503999496

Least Common Multiple (LCM) of 95238 and 95256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95238 and 95256. First we will calculate the prime factors of 95238 and 95256.

Prime Factorization of 95238

Prime Factorization of 95256

Now multiplying the highest exponent prime factors to calculate the LCM of 95238 and 95256.

LCM(95238,95256) = 2³ × 3⁵ × 11¹ × 13¹ × 37¹ × 7²
LCM(95238,95256) = 503999496