What is the Least Common Multiple of 45246 and 45264?

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 45246 and 45264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45246 and 45264, than apply into the LCM equation.

GCF(45246,45264) = 6
LCM(45246,45264) = ( 45246 × 45264) / 6
LCM(45246,45264) = 2048014944 / 6
LCM(45246,45264) = 341335824

Least Common Multiple (LCM) of 45246 and 45264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45246 and 45264. First we will calculate the prime factors of 45246 and 45264.

Prime Factorization of 45246

Prime Factorization of 45264

Now multiplying the highest exponent prime factors to calculate the LCM of 45246 and 45264.

LCM(45246,45264) = 2⁴ × 3¹ × 7541¹ × 23¹ × 41¹
LCM(45246,45264) = 341335824