What is the Least Common Multiple of 50952 and 50970?

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 50952 and 50970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50952 and 50970, than apply into the LCM equation.

GCF(50952,50970) = 6
LCM(50952,50970) = ( 50952 × 50970) / 6
LCM(50952,50970) = 2597023440 / 6
LCM(50952,50970) = 432837240

Least Common Multiple (LCM) of 50952 and 50970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50952 and 50970. First we will calculate the prime factors of 50952 and 50970.

Prime Factorization of 50952

Prime Factorization of 50970

Now multiplying the highest exponent prime factors to calculate the LCM of 50952 and 50970.

LCM(50952,50970) = 2³ × 3¹ × 11¹ × 193¹ × 5¹ × 1699¹
LCM(50952,50970) = 432837240