What is the Least Common Multiple of 62976 and 62985?

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 62976 and 62985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62976 and 62985, than apply into the LCM equation.

GCF(62976,62985) = 3
LCM(62976,62985) = ( 62976 × 62985) / 3
LCM(62976,62985) = 3966543360 / 3
LCM(62976,62985) = 1322181120

Least Common Multiple (LCM) of 62976 and 62985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62976 and 62985. First we will calculate the prime factors of 62976 and 62985.

Prime Factorization of 62976

Prime Factorization of 62985

Now multiplying the highest exponent prime factors to calculate the LCM of 62976 and 62985.

LCM(62976,62985) = 2⁹ × 3¹ × 41¹ × 5¹ × 13¹ × 17¹ × 19¹
LCM(62976,62985) = 1322181120