What is the Least Common Multiple of 45264 and 45284?

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 45284 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 45284, than apply into the LCM equation.

GCF(45264,45284) = 4
LCM(45264,45284) = ( 45264 × 45284) / 4
LCM(45264,45284) = 2049734976 / 4
LCM(45264,45284) = 512433744

Least Common Multiple (LCM) of 45264 and 45284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45264 and 45284. First we will calculate the prime factors of 45264 and 45284.

Prime Factorization of 45264

Prime Factorization of 45284

Now multiplying the highest exponent prime factors to calculate the LCM of 45264 and 45284.

LCM(45264,45284) = 2⁴ × 3¹ × 23¹ × 41¹ × 11321¹
LCM(45264,45284) = 512433744