What is the Least Common Multiple of 50904 and 50916?

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 50904 and 50916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50904 and 50916, than apply into the LCM equation.

GCF(50904,50916) = 12
LCM(50904,50916) = ( 50904 × 50916) / 12
LCM(50904,50916) = 2591828064 / 12
LCM(50904,50916) = 215985672

Least Common Multiple (LCM) of 50904 and 50916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50904 and 50916. First we will calculate the prime factors of 50904 and 50916.

Prime Factorization of 50904

Prime Factorization of 50916

Now multiplying the highest exponent prime factors to calculate the LCM of 50904 and 50916.

LCM(50904,50916) = 2³ × 3² × 7¹ × 101¹ × 4243¹
LCM(50904,50916) = 215985672