What is the Least Common Multiple of 50524 and 50544?

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 50524 and 50544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50524 and 50544, than apply into the LCM equation.

GCF(50524,50544) = 4
LCM(50524,50544) = ( 50524 × 50544) / 4
LCM(50524,50544) = 2553685056 / 4
LCM(50524,50544) = 638421264

Least Common Multiple (LCM) of 50524 and 50544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50524 and 50544. First we will calculate the prime factors of 50524 and 50544.

Prime Factorization of 50524

Prime Factorization of 50544

Now multiplying the highest exponent prime factors to calculate the LCM of 50524 and 50544.

LCM(50524,50544) = 2⁴ × 17¹ × 743¹ × 3⁵ × 13¹
LCM(50524,50544) = 638421264