What is the Least Common Multiple of 61128 and 61148?

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 61128 and 61148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61128 and 61148, than apply into the LCM equation.

GCF(61128,61148) = 4
LCM(61128,61148) = ( 61128 × 61148) / 4
LCM(61128,61148) = 3737854944 / 4
LCM(61128,61148) = 934463736

Least Common Multiple (LCM) of 61128 and 61148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61128 and 61148. First we will calculate the prime factors of 61128 and 61148.

Prime Factorization of 61128

Prime Factorization of 61148

Now multiplying the highest exponent prime factors to calculate the LCM of 61128 and 61148.

LCM(61128,61148) = 2³ × 3³ × 283¹ × 15287¹
LCM(61128,61148) = 934463736