What is the Least Common Multiple of 92799 and 92808?

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 92799 and 92808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92799 and 92808, than apply into the LCM equation.

GCF(92799,92808) = 9
LCM(92799,92808) = ( 92799 × 92808) / 9
LCM(92799,92808) = 8612489592 / 9
LCM(92799,92808) = 956943288

Least Common Multiple (LCM) of 92799 and 92808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92799 and 92808. First we will calculate the prime factors of 92799 and 92808.

Prime Factorization of 92799

Prime Factorization of 92808

Now multiplying the highest exponent prime factors to calculate the LCM of 92799 and 92808.

LCM(92799,92808) = 3³ × 7¹ × 491¹ × 2³ × 1289¹
LCM(92799,92808) = 956943288