What is the Least Common Multiple of 61128 and 61139?

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 61139 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 61139, than apply into the LCM equation.

GCF(61128,61139) = 1
LCM(61128,61139) = ( 61128 × 61139) / 1
LCM(61128,61139) = 3737304792 / 1
LCM(61128,61139) = 3737304792

Least Common Multiple (LCM) of 61128 and 61139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61128 and 61139. First we will calculate the prime factors of 61128 and 61139.

Prime Factorization of 61128

Prime Factorization of 61139

Now multiplying the highest exponent prime factors to calculate the LCM of 61128 and 61139.

LCM(61128,61139) = 2³ × 3³ × 283¹ × 13¹ × 4703¹
LCM(61128,61139) = 3737304792