What is the Least Common Multiple of 54624 and 54642?

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 54624 and 54642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54624 and 54642, than apply into the LCM equation.

GCF(54624,54642) = 6
LCM(54624,54642) = ( 54624 × 54642) / 6
LCM(54624,54642) = 2984764608 / 6
LCM(54624,54642) = 497460768

Least Common Multiple (LCM) of 54624 and 54642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54624 and 54642. First we will calculate the prime factors of 54624 and 54642.

Prime Factorization of 54624

Prime Factorization of 54642

Now multiplying the highest exponent prime factors to calculate the LCM of 54624 and 54642.

LCM(54624,54642) = 2⁵ × 3¹ × 569¹ × 7¹ × 1301¹
LCM(54624,54642) = 497460768