What is the Least Common Multiple of 50544 and 50550?

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 50550 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 50550, than apply into the LCM equation.

GCF(50544,50550) = 6
LCM(50544,50550) = ( 50544 × 50550) / 6
LCM(50544,50550) = 2554999200 / 6
LCM(50544,50550) = 425833200

Least Common Multiple (LCM) of 50544 and 50550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50544 and 50550. First we will calculate the prime factors of 50544 and 50550.

Prime Factorization of 50544

Prime Factorization of 50550

Now multiplying the highest exponent prime factors to calculate the LCM of 50544 and 50550.

LCM(50544,50550) = 2⁴ × 3⁵ × 13¹ × 5² × 337¹
LCM(50544,50550) = 425833200