What is the Least Common Multiple of 95256 and 95270?

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 95256 and 95270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95256 and 95270, than apply into the LCM equation.

GCF(95256,95270) = 14
LCM(95256,95270) = ( 95256 × 95270) / 14
LCM(95256,95270) = 9075039120 / 14
LCM(95256,95270) = 648217080

Least Common Multiple (LCM) of 95256 and 95270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95256 and 95270. First we will calculate the prime factors of 95256 and 95270.

Prime Factorization of 95256

Prime Factorization of 95270

Now multiplying the highest exponent prime factors to calculate the LCM of 95256 and 95270.

LCM(95256,95270) = 2³ × 3⁵ × 7² × 5¹ × 1361¹
LCM(95256,95270) = 648217080