What is the Least Common Multiple of 76632 and 76638?

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 76638 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 76638, than apply into the LCM equation.

GCF(76632,76638) = 6
LCM(76632,76638) = ( 76632 × 76638) / 6
LCM(76632,76638) = 5872923216 / 6
LCM(76632,76638) = 978820536

Least Common Multiple (LCM) of 76632 and 76638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76632 and 76638. First we will calculate the prime factors of 76632 and 76638.

Prime Factorization of 76632

Prime Factorization of 76638

Now multiplying the highest exponent prime factors to calculate the LCM of 76632 and 76638.

LCM(76632,76638) = 2³ × 3¹ × 31¹ × 103¹ × 53¹ × 241¹
LCM(76632,76638) = 978820536