What is the Least Common Multiple of 50724 and 50733?

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 50724 and 50733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50724 and 50733, than apply into the LCM equation.

GCF(50724,50733) = 9
LCM(50724,50733) = ( 50724 × 50733) / 9
LCM(50724,50733) = 2573380692 / 9
LCM(50724,50733) = 285931188

Least Common Multiple (LCM) of 50724 and 50733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50724 and 50733. First we will calculate the prime factors of 50724 and 50733.

Prime Factorization of 50724

Prime Factorization of 50733

Now multiplying the highest exponent prime factors to calculate the LCM of 50724 and 50733.

LCM(50724,50733) = 2² × 3³ × 1409¹ × 1879¹
LCM(50724,50733) = 285931188