What is the Least Common Multiple of 92404 and 92417?

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 92404 and 92417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92404 and 92417, than apply into the LCM equation.

GCF(92404,92417) = 13
LCM(92404,92417) = ( 92404 × 92417) / 13
LCM(92404,92417) = 8539700468 / 13
LCM(92404,92417) = 656900036

Least Common Multiple (LCM) of 92404 and 92417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92404 and 92417. First we will calculate the prime factors of 92404 and 92417.

Prime Factorization of 92404

Prime Factorization of 92417

Now multiplying the highest exponent prime factors to calculate the LCM of 92404 and 92417.

LCM(92404,92417) = 2² × 13¹ × 1777¹ × 7109¹
LCM(92404,92417) = 656900036