What is the Least Common Multiple of 50976 and 50982?

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 50982 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 50982, than apply into the LCM equation.

GCF(50976,50982) = 6
LCM(50976,50982) = ( 50976 × 50982) / 6
LCM(50976,50982) = 2598858432 / 6
LCM(50976,50982) = 433143072

Least Common Multiple (LCM) of 50976 and 50982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50976 and 50982. First we will calculate the prime factors of 50976 and 50982.

Prime Factorization of 50976

Prime Factorization of 50982

Now multiplying the highest exponent prime factors to calculate the LCM of 50976 and 50982.

LCM(50976,50982) = 2⁵ × 3³ × 59¹ × 29¹ × 293¹
LCM(50976,50982) = 433143072