What is the Least Common Multiple of 54594 and 54608?

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 54594 and 54608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54594 and 54608, than apply into the LCM equation.

GCF(54594,54608) = 2
LCM(54594,54608) = ( 54594 × 54608) / 2
LCM(54594,54608) = 2981269152 / 2
LCM(54594,54608) = 1490634576

Least Common Multiple (LCM) of 54594 and 54608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54594 and 54608. First we will calculate the prime factors of 54594 and 54608.

Prime Factorization of 54594

Prime Factorization of 54608

Now multiplying the highest exponent prime factors to calculate the LCM of 54594 and 54608.

LCM(54594,54608) = 2⁴ × 3⁴ × 337¹ × 3413¹
LCM(54594,54608) = 1490634576