What is the Least Common Multiple of 50616 and 50632?

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 50616 and 50632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50616 and 50632, than apply into the LCM equation.

GCF(50616,50632) = 8
LCM(50616,50632) = ( 50616 × 50632) / 8
LCM(50616,50632) = 2562789312 / 8
LCM(50616,50632) = 320348664

Least Common Multiple (LCM) of 50616 and 50632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50616 and 50632. First we will calculate the prime factors of 50616 and 50632.

Prime Factorization of 50616

Prime Factorization of 50632

Now multiplying the highest exponent prime factors to calculate the LCM of 50616 and 50632.

LCM(50616,50632) = 2³ × 3² × 19¹ × 37¹ × 6329¹
LCM(50616,50632) = 320348664