What is the Least Common Multiple of 50970 and 50976?

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 50970 and 50976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50970 and 50976, than apply into the LCM equation.

GCF(50970,50976) = 6
LCM(50970,50976) = ( 50970 × 50976) / 6
LCM(50970,50976) = 2598246720 / 6
LCM(50970,50976) = 433041120

Least Common Multiple (LCM) of 50970 and 50976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50970 and 50976. First we will calculate the prime factors of 50970 and 50976.

Prime Factorization of 50970

Prime Factorization of 50976

Now multiplying the highest exponent prime factors to calculate the LCM of 50970 and 50976.

LCM(50970,50976) = 2⁵ × 3³ × 5¹ × 1699¹ × 59¹
LCM(50970,50976) = 433041120