What is the Least Common Multiple of 50964 and 50972?

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 50964 and 50972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50964 and 50972, than apply into the LCM equation.

GCF(50964,50972) = 4
LCM(50964,50972) = ( 50964 × 50972) / 4
LCM(50964,50972) = 2597737008 / 4
LCM(50964,50972) = 649434252

Least Common Multiple (LCM) of 50964 and 50972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50964 and 50972. First we will calculate the prime factors of 50964 and 50972.

Prime Factorization of 50964

Prime Factorization of 50972

Now multiplying the highest exponent prime factors to calculate the LCM of 50964 and 50972.

LCM(50964,50972) = 2² × 3¹ × 31¹ × 137¹ × 12743¹
LCM(50964,50972) = 649434252