What is the Least Common Multiple of 76632 and 76646?

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 76632 and 76646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76632 and 76646, than apply into the LCM equation.

GCF(76632,76646) = 2
LCM(76632,76646) = ( 76632 × 76646) / 2
LCM(76632,76646) = 5873536272 / 2
LCM(76632,76646) = 2936768136

Least Common Multiple (LCM) of 76632 and 76646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76632 and 76646. First we will calculate the prime factors of 76632 and 76646.

Prime Factorization of 76632

Prime Factorization of 76646

Now multiplying the highest exponent prime factors to calculate the LCM of 76632 and 76646.

LCM(76632,76646) = 2³ × 3¹ × 31¹ × 103¹ × 19¹ × 2017¹
LCM(76632,76646) = 2936768136