What is the Least Common Multiple of 92944 and 92959?

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 92944 and 92959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92944 and 92959, than apply into the LCM equation.

GCF(92944,92959) = 1
LCM(92944,92959) = ( 92944 × 92959) / 1
LCM(92944,92959) = 8639981296 / 1
LCM(92944,92959) = 8639981296

Least Common Multiple (LCM) of 92944 and 92959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92944 and 92959. First we will calculate the prime factors of 92944 and 92959.

Prime Factorization of 92944

Prime Factorization of 92959

Now multiplying the highest exponent prime factors to calculate the LCM of 92944 and 92959.

LCM(92944,92959) = 2⁴ × 37¹ × 157¹ × 92959¹
LCM(92944,92959) = 8639981296