What is the Least Common Multiple of 92996 and 93006?

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 92996 and 93006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92996 and 93006, than apply into the LCM equation.

GCF(92996,93006) = 2
LCM(92996,93006) = ( 92996 × 93006) / 2
LCM(92996,93006) = 8649185976 / 2
LCM(92996,93006) = 4324592988

Least Common Multiple (LCM) of 92996 and 93006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92996 and 93006. First we will calculate the prime factors of 92996 and 93006.

Prime Factorization of 92996

Prime Factorization of 93006

Now multiplying the highest exponent prime factors to calculate the LCM of 92996 and 93006.

LCM(92996,93006) = 2² × 67¹ × 347¹ × 3² × 5167¹
LCM(92996,93006) = 4324592988