What is the Least Common Multiple of 45264 and 45268?

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 45264 and 45268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45264 and 45268, than apply into the LCM equation.

GCF(45264,45268) = 4
LCM(45264,45268) = ( 45264 × 45268) / 4
LCM(45264,45268) = 2049010752 / 4
LCM(45264,45268) = 512252688

Least Common Multiple (LCM) of 45264 and 45268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45264 and 45268. First we will calculate the prime factors of 45264 and 45268.

Prime Factorization of 45264

Prime Factorization of 45268

Now multiplying the highest exponent prime factors to calculate the LCM of 45264 and 45268.

LCM(45264,45268) = 2⁴ × 3¹ × 23¹ × 41¹ × 11317¹
LCM(45264,45268) = 512252688