What is the Least Common Multiple of 61116 and 61128?

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 61116 and 61128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61116 and 61128, than apply into the LCM equation.

GCF(61116,61128) = 12
LCM(61116,61128) = ( 61116 × 61128) / 12
LCM(61116,61128) = 3735898848 / 12
LCM(61116,61128) = 311324904

Least Common Multiple (LCM) of 61116 and 61128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61116 and 61128. First we will calculate the prime factors of 61116 and 61128.

Prime Factorization of 61116

Prime Factorization of 61128

Now multiplying the highest exponent prime factors to calculate the LCM of 61116 and 61128.

LCM(61116,61128) = 2³ × 3³ × 11¹ × 463¹ × 283¹
LCM(61116,61128) = 311324904