What is the Least Common Multiple of 92664 and 92679?

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 92664 and 92679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92664 and 92679, than apply into the LCM equation.

GCF(92664,92679) = 3
LCM(92664,92679) = ( 92664 × 92679) / 3
LCM(92664,92679) = 8588006856 / 3
LCM(92664,92679) = 2862668952

Least Common Multiple (LCM) of 92664 and 92679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92664 and 92679. First we will calculate the prime factors of 92664 and 92679.

Prime Factorization of 92664

Prime Factorization of 92679

Now multiplying the highest exponent prime factors to calculate the LCM of 92664 and 92679.

LCM(92664,92679) = 2³ × 3⁴ × 11¹ × 13¹ × 30893¹
LCM(92664,92679) = 2862668952