What is the Least Common Multiple of 45268 and 45288?

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 45268 and 45288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45268 and 45288, than apply into the LCM equation.

GCF(45268,45288) = 4
LCM(45268,45288) = ( 45268 × 45288) / 4
LCM(45268,45288) = 2050097184 / 4
LCM(45268,45288) = 512524296

Least Common Multiple (LCM) of 45268 and 45288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45268 and 45288. First we will calculate the prime factors of 45268 and 45288.

Prime Factorization of 45268

Prime Factorization of 45288

Now multiplying the highest exponent prime factors to calculate the LCM of 45268 and 45288.

LCM(45268,45288) = 2³ × 11317¹ × 3² × 17¹ × 37¹
LCM(45268,45288) = 512524296