What is the Least Common Multiple of 76500 and 76515?

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 76500 and 76515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76500 and 76515, than apply into the LCM equation.

GCF(76500,76515) = 15
LCM(76500,76515) = ( 76500 × 76515) / 15
LCM(76500,76515) = 5853397500 / 15
LCM(76500,76515) = 390226500

Least Common Multiple (LCM) of 76500 and 76515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76500 and 76515. First we will calculate the prime factors of 76500 and 76515.

Prime Factorization of 76500

Prime Factorization of 76515

Now multiplying the highest exponent prime factors to calculate the LCM of 76500 and 76515.

LCM(76500,76515) = 2² × 3² × 5³ × 17¹ × 5101¹
LCM(76500,76515) = 390226500