What is the Least Common Multiple of 92538 and 92544?

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 92538 and 92544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92538 and 92544, than apply into the LCM equation.

GCF(92538,92544) = 6
LCM(92538,92544) = ( 92538 × 92544) / 6
LCM(92538,92544) = 8563836672 / 6
LCM(92538,92544) = 1427306112

Least Common Multiple (LCM) of 92538 and 92544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92538 and 92544. First we will calculate the prime factors of 92538 and 92544.

Prime Factorization of 92538

Prime Factorization of 92544

Now multiplying the highest exponent prime factors to calculate the LCM of 92538 and 92544.

LCM(92538,92544) = 2⁷ × 3² × 53¹ × 97¹ × 241¹
LCM(92538,92544) = 1427306112