What is the Least Common Multiple of 77660 and 77675?

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 77660 and 77675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77660 and 77675, than apply into the LCM equation.

GCF(77660,77675) = 5
LCM(77660,77675) = ( 77660 × 77675) / 5
LCM(77660,77675) = 6032240500 / 5
LCM(77660,77675) = 1206448100

Least Common Multiple (LCM) of 77660 and 77675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77660 and 77675. First we will calculate the prime factors of 77660 and 77675.

Prime Factorization of 77660

Prime Factorization of 77675

Now multiplying the highest exponent prime factors to calculate the LCM of 77660 and 77675.

LCM(77660,77675) = 2² × 5² × 11¹ × 353¹ × 13¹ × 239¹
LCM(77660,77675) = 1206448100