What is the Least Common Multiple of 50544 and 50559?

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 50544 and 50559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50544 and 50559, than apply into the LCM equation.

GCF(50544,50559) = 3
LCM(50544,50559) = ( 50544 × 50559) / 3
LCM(50544,50559) = 2555454096 / 3
LCM(50544,50559) = 851818032

Least Common Multiple (LCM) of 50544 and 50559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50544 and 50559. First we will calculate the prime factors of 50544 and 50559.

Prime Factorization of 50544

Prime Factorization of 50559

Now multiplying the highest exponent prime factors to calculate the LCM of 50544 and 50559.

LCM(50544,50559) = 2⁴ × 3⁵ × 13¹ × 19¹ × 887¹
LCM(50544,50559) = 851818032