What is the Least Common Multiple of 92649 and 92664?

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 92649 and 92664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92649 and 92664, than apply into the LCM equation.

GCF(92649,92664) = 3
LCM(92649,92664) = ( 92649 × 92664) / 3
LCM(92649,92664) = 8585226936 / 3
LCM(92649,92664) = 2861742312

Least Common Multiple (LCM) of 92649 and 92664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92649 and 92664. First we will calculate the prime factors of 92649 and 92664.

Prime Factorization of 92649

Prime Factorization of 92664

Now multiplying the highest exponent prime factors to calculate the LCM of 92649 and 92664.

LCM(92649,92664) = 3⁴ × 89¹ × 347¹ × 2³ × 11¹ × 13¹
LCM(92649,92664) = 2861742312