What is the Least Common Multiple of 92128 and 92139?

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 92128 and 92139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92128 and 92139, than apply into the LCM equation.

GCF(92128,92139) = 1
LCM(92128,92139) = ( 92128 × 92139) / 1
LCM(92128,92139) = 8488581792 / 1
LCM(92128,92139) = 8488581792

Least Common Multiple (LCM) of 92128 and 92139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92128 and 92139. First we will calculate the prime factors of 92128 and 92139.

Prime Factorization of 92128

Prime Factorization of 92139

Now multiplying the highest exponent prime factors to calculate the LCM of 92128 and 92139.

LCM(92128,92139) = 2⁵ × 2879¹ × 3¹ × 30713¹
LCM(92128,92139) = 8488581792