What is the Least Common Multiple of 92925 and 92944?

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 92925 and 92944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92925 and 92944, than apply into the LCM equation.

GCF(92925,92944) = 1
LCM(92925,92944) = ( 92925 × 92944) / 1
LCM(92925,92944) = 8636821200 / 1
LCM(92925,92944) = 8636821200

Least Common Multiple (LCM) of 92925 and 92944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92925 and 92944. First we will calculate the prime factors of 92925 and 92944.

Prime Factorization of 92925

Prime Factorization of 92944

Now multiplying the highest exponent prime factors to calculate the LCM of 92925 and 92944.

LCM(92925,92944) = 3² × 5² × 7¹ × 59¹ × 2⁴ × 37¹ × 157¹
LCM(92925,92944) = 8636821200