What is the Least Common Multiple of 77619 and 77631?

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 77619 and 77631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77619 and 77631, than apply into the LCM equation.

GCF(77619,77631) = 3
LCM(77619,77631) = ( 77619 × 77631) / 3
LCM(77619,77631) = 6025640589 / 3
LCM(77619,77631) = 2008546863

Least Common Multiple (LCM) of 77619 and 77631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77619 and 77631. First we will calculate the prime factors of 77619 and 77631.

Prime Factorization of 77619

Prime Factorization of 77631

Now multiplying the highest exponent prime factors to calculate the LCM of 77619 and 77631.

LCM(77619,77631) = 3¹ × 25873¹ × 113¹ × 229¹
LCM(77619,77631) = 2008546863