What is the Least Common Multiple of 45288 and 45306?

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 45288 and 45306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45288 and 45306, than apply into the LCM equation.

GCF(45288,45306) = 18
LCM(45288,45306) = ( 45288 × 45306) / 18
LCM(45288,45306) = 2051818128 / 18
LCM(45288,45306) = 113989896

Least Common Multiple (LCM) of 45288 and 45306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45288 and 45306. First we will calculate the prime factors of 45288 and 45306.

Prime Factorization of 45288

Prime Factorization of 45306

Now multiplying the highest exponent prime factors to calculate the LCM of 45288 and 45306.

LCM(45288,45306) = 2³ × 3³ × 17¹ × 37¹ × 839¹
LCM(45288,45306) = 113989896