What is the Least Common Multiple of 54616 and 54636?

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 54616 and 54636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54616 and 54636, than apply into the LCM equation.

GCF(54616,54636) = 4
LCM(54616,54636) = ( 54616 × 54636) / 4
LCM(54616,54636) = 2983999776 / 4
LCM(54616,54636) = 745999944

Least Common Multiple (LCM) of 54616 and 54636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54616 and 54636. First we will calculate the prime factors of 54616 and 54636.

Prime Factorization of 54616

Prime Factorization of 54636

Now multiplying the highest exponent prime factors to calculate the LCM of 54616 and 54636.

LCM(54616,54636) = 2³ × 6827¹ × 3¹ × 29¹ × 157¹
LCM(54616,54636) = 745999944