What is the Least Common Multiple of 76968 and 76977?

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 76968 and 76977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76968 and 76977, than apply into the LCM equation.

GCF(76968,76977) = 9
LCM(76968,76977) = ( 76968 × 76977) / 9
LCM(76968,76977) = 5924765736 / 9
LCM(76968,76977) = 658307304

Least Common Multiple (LCM) of 76968 and 76977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76968 and 76977. First we will calculate the prime factors of 76968 and 76977.

Prime Factorization of 76968

Prime Factorization of 76977

Now multiplying the highest exponent prime factors to calculate the LCM of 76968 and 76977.

LCM(76968,76977) = 2³ × 3³ × 1069¹ × 2851¹
LCM(76968,76977) = 658307304