What is the Least Common Multiple of 76200 and 76215?

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 76200 and 76215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76200 and 76215, than apply into the LCM equation.

GCF(76200,76215) = 15
LCM(76200,76215) = ( 76200 × 76215) / 15
LCM(76200,76215) = 5807583000 / 15
LCM(76200,76215) = 387172200

Least Common Multiple (LCM) of 76200 and 76215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76200 and 76215. First we will calculate the prime factors of 76200 and 76215.

Prime Factorization of 76200

Prime Factorization of 76215

Now multiplying the highest exponent prime factors to calculate the LCM of 76200 and 76215.

LCM(76200,76215) = 2³ × 3¹ × 5² × 127¹ × 5081¹
LCM(76200,76215) = 387172200