What is the Least Common Multiple of 54588 and 54606?

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 54588 and 54606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54588 and 54606, than apply into the LCM equation.

GCF(54588,54606) = 6
LCM(54588,54606) = ( 54588 × 54606) / 6
LCM(54588,54606) = 2980832328 / 6
LCM(54588,54606) = 496805388

Least Common Multiple (LCM) of 54588 and 54606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54588 and 54606. First we will calculate the prime factors of 54588 and 54606.

Prime Factorization of 54588

Prime Factorization of 54606

Now multiplying the highest exponent prime factors to calculate the LCM of 54588 and 54606.

LCM(54588,54606) = 2² × 3¹ × 4549¹ × 19¹ × 479¹
LCM(54588,54606) = 496805388