What is the Least Common Multiple of 92128 and 92144?

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 92144 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 92144, than apply into the LCM equation.

GCF(92128,92144) = 16
LCM(92128,92144) = ( 92128 × 92144) / 16
LCM(92128,92144) = 8489042432 / 16
LCM(92128,92144) = 530565152

Least Common Multiple (LCM) of 92128 and 92144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92128 and 92144. First we will calculate the prime factors of 92128 and 92144.

Prime Factorization of 92128

Prime Factorization of 92144

Now multiplying the highest exponent prime factors to calculate the LCM of 92128 and 92144.

LCM(92128,92144) = 2⁵ × 2879¹ × 13¹ × 443¹
LCM(92128,92144) = 530565152