What is the Least Common Multiple of 92944 and 92954?

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 92954 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 92954, than apply into the LCM equation.

GCF(92944,92954) = 2
LCM(92944,92954) = ( 92944 × 92954) / 2
LCM(92944,92954) = 8639516576 / 2
LCM(92944,92954) = 4319758288

Least Common Multiple (LCM) of 92944 and 92954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92944 and 92954. First we will calculate the prime factors of 92944 and 92954.

Prime Factorization of 92944

Prime Factorization of 92954

Now multiplying the highest exponent prime factors to calculate the LCM of 92944 and 92954.

LCM(92944,92954) = 2⁴ × 37¹ × 157¹ × 46477¹
LCM(92944,92954) = 4319758288