What is the Least Common Multiple of 50544 and 50563?

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 50563 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 50563, than apply into the LCM equation.

GCF(50544,50563) = 1
LCM(50544,50563) = ( 50544 × 50563) / 1
LCM(50544,50563) = 2555656272 / 1
LCM(50544,50563) = 2555656272

Least Common Multiple (LCM) of 50544 and 50563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50544 and 50563. First we will calculate the prime factors of 50544 and 50563.

Prime Factorization of 50544

Prime Factorization of 50563

Now multiplying the highest exponent prime factors to calculate the LCM of 50544 and 50563.

LCM(50544,50563) = 2⁴ × 3⁵ × 13¹ × 59¹ × 857¹
LCM(50544,50563) = 2555656272