What is the Least Common Multiple of 76650 and 76664?

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 76650 and 76664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76650 and 76664, than apply into the LCM equation.

GCF(76650,76664) = 14
LCM(76650,76664) = ( 76650 × 76664) / 14
LCM(76650,76664) = 5876295600 / 14
LCM(76650,76664) = 419735400

Least Common Multiple (LCM) of 76650 and 76664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76650 and 76664. First we will calculate the prime factors of 76650 and 76664.

Prime Factorization of 76650

Prime Factorization of 76664

Now multiplying the highest exponent prime factors to calculate the LCM of 76650 and 76664.

LCM(76650,76664) = 2³ × 3¹ × 5² × 7¹ × 73¹ × 37²
LCM(76650,76664) = 419735400