What is the Least Common Multiple of 50946 and 50964?

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 50946 and 50964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50946 and 50964, than apply into the LCM equation.

GCF(50946,50964) = 6
LCM(50946,50964) = ( 50946 × 50964) / 6
LCM(50946,50964) = 2596411944 / 6
LCM(50946,50964) = 432735324

Least Common Multiple (LCM) of 50946 and 50964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50946 and 50964. First we will calculate the prime factors of 50946 and 50964.

Prime Factorization of 50946

Prime Factorization of 50964

Now multiplying the highest exponent prime factors to calculate the LCM of 50946 and 50964.

LCM(50946,50964) = 2² × 3¹ × 7¹ × 1213¹ × 31¹ × 137¹
LCM(50946,50964) = 432735324