What is the Least Common Multiple of 54604 and 54624?

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 54604 and 54624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54604 and 54624, than apply into the LCM equation.

GCF(54604,54624) = 4
LCM(54604,54624) = ( 54604 × 54624) / 4
LCM(54604,54624) = 2982688896 / 4
LCM(54604,54624) = 745672224

Least Common Multiple (LCM) of 54604 and 54624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54604 and 54624. First we will calculate the prime factors of 54604 and 54624.

Prime Factorization of 54604

Prime Factorization of 54624

Now multiplying the highest exponent prime factors to calculate the LCM of 54604 and 54624.

LCM(54604,54624) = 2⁵ × 11¹ × 17¹ × 73¹ × 3¹ × 569¹
LCM(54604,54624) = 745672224