What is the Least Common Multiple of 50984 and 50996?

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 50984 and 50996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50984 and 50996, than apply into the LCM equation.

GCF(50984,50996) = 4
LCM(50984,50996) = ( 50984 × 50996) / 4
LCM(50984,50996) = 2599980064 / 4
LCM(50984,50996) = 649995016

Least Common Multiple (LCM) of 50984 and 50996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50984 and 50996. First we will calculate the prime factors of 50984 and 50996.

Prime Factorization of 50984

Prime Factorization of 50996

Now multiplying the highest exponent prime factors to calculate the LCM of 50984 and 50996.

LCM(50984,50996) = 2³ × 6373¹ × 11¹ × 19¹ × 61¹
LCM(50984,50996) = 649995016