What is the Least Common Multiple of 50976 and 50991?

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 50976 and 50991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50976 and 50991, than apply into the LCM equation.

GCF(50976,50991) = 3
LCM(50976,50991) = ( 50976 × 50991) / 3
LCM(50976,50991) = 2599317216 / 3
LCM(50976,50991) = 866439072

Least Common Multiple (LCM) of 50976 and 50991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50976 and 50991. First we will calculate the prime factors of 50976 and 50991.

Prime Factorization of 50976

Prime Factorization of 50991

Now multiplying the highest exponent prime factors to calculate the LCM of 50976 and 50991.

LCM(50976,50991) = 2⁵ × 3³ × 59¹ × 23¹ × 739¹
LCM(50976,50991) = 866439072