What is the Least Common Multiple of 50712 and 50724?

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 50712 and 50724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50712 and 50724, than apply into the LCM equation.

GCF(50712,50724) = 12
LCM(50712,50724) = ( 50712 × 50724) / 12
LCM(50712,50724) = 2572315488 / 12
LCM(50712,50724) = 214359624

Least Common Multiple (LCM) of 50712 and 50724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50712 and 50724. First we will calculate the prime factors of 50712 and 50724.

Prime Factorization of 50712

Prime Factorization of 50724

Now multiplying the highest exponent prime factors to calculate the LCM of 50712 and 50724.

LCM(50712,50724) = 2³ × 3² × 2113¹ × 1409¹
LCM(50712,50724) = 214359624