What is the Least Common Multiple of 92745 and 92760?

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 92745 and 92760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92745 and 92760, than apply into the LCM equation.

GCF(92745,92760) = 15
LCM(92745,92760) = ( 92745 × 92760) / 15
LCM(92745,92760) = 8603026200 / 15
LCM(92745,92760) = 573535080

Least Common Multiple (LCM) of 92745 and 92760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92745 and 92760. First we will calculate the prime factors of 92745 and 92760.

Prime Factorization of 92745

Prime Factorization of 92760

Now multiplying the highest exponent prime factors to calculate the LCM of 92745 and 92760.

LCM(92745,92760) = 3⁴ × 5¹ × 229¹ × 2³ × 773¹
LCM(92745,92760) = 573535080