What is the Least Common Multiple of 55494 and 55504?

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 55494 and 55504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55494 and 55504, than apply into the LCM equation.

GCF(55494,55504) = 2
LCM(55494,55504) = ( 55494 × 55504) / 2
LCM(55494,55504) = 3080138976 / 2
LCM(55494,55504) = 1540069488

Least Common Multiple (LCM) of 55494 and 55504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55494 and 55504. First we will calculate the prime factors of 55494 and 55504.

Prime Factorization of 55494

Prime Factorization of 55504

Now multiplying the highest exponent prime factors to calculate the LCM of 55494 and 55504.

LCM(55494,55504) = 2⁴ × 3² × 3083¹ × 3469¹
LCM(55494,55504) = 1540069488