What is the Least Common Multiple of 57128 and 57139?

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 57128 and 57139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57128 and 57139, than apply into the LCM equation.

GCF(57128,57139) = 1
LCM(57128,57139) = ( 57128 × 57139) / 1
LCM(57128,57139) = 3264236792 / 1
LCM(57128,57139) = 3264236792

Least Common Multiple (LCM) of 57128 and 57139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57128 and 57139. First we will calculate the prime factors of 57128 and 57139.

Prime Factorization of 57128

Prime Factorization of 57139

Now multiplying the highest exponent prime factors to calculate the LCM of 57128 and 57139.

LCM(57128,57139) = 2³ × 37¹ × 193¹ × 57139¹
LCM(57128,57139) = 3264236792