What is the Least Common Multiple of 50664 and 50674?

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 50664 and 50674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50664 and 50674, than apply into the LCM equation.

GCF(50664,50674) = 2
LCM(50664,50674) = ( 50664 × 50674) / 2
LCM(50664,50674) = 2567347536 / 2
LCM(50664,50674) = 1283673768

Least Common Multiple (LCM) of 50664 and 50674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50664 and 50674. First we will calculate the prime factors of 50664 and 50674.

Prime Factorization of 50664

Prime Factorization of 50674

Now multiplying the highest exponent prime factors to calculate the LCM of 50664 and 50674.

LCM(50664,50674) = 2³ × 3¹ × 2111¹ × 13¹ × 1949¹
LCM(50664,50674) = 1283673768