What is the Least Common Multiple of 92652 and 92667?

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 92652 and 92667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92652 and 92667, than apply into the LCM equation.

GCF(92652,92667) = 3
LCM(92652,92667) = ( 92652 × 92667) / 3
LCM(92652,92667) = 8585782884 / 3
LCM(92652,92667) = 2861927628

Least Common Multiple (LCM) of 92652 and 92667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92652 and 92667. First we will calculate the prime factors of 92652 and 92667.

Prime Factorization of 92652

Prime Factorization of 92667

Now multiplying the highest exponent prime factors to calculate the LCM of 92652 and 92667.

LCM(92652,92667) = 2² × 3¹ × 7¹ × 1103¹ × 17¹ × 23¹ × 79¹
LCM(92652,92667) = 2861927628