What is the Least Common Multiple of 45013 and 45018?

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 45013 and 45018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45013 and 45018, than apply into the LCM equation.

GCF(45013,45018) = 1
LCM(45013,45018) = ( 45013 × 45018) / 1
LCM(45013,45018) = 2026395234 / 1
LCM(45013,45018) = 2026395234

Least Common Multiple (LCM) of 45013 and 45018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45013 and 45018. First we will calculate the prime factors of 45013 and 45018.

Prime Factorization of 45013

Prime Factorization of 45018

Now multiplying the highest exponent prime factors to calculate the LCM of 45013 and 45018.

LCM(45013,45018) = 45013¹ × 2¹ × 3² × 41¹ × 61¹
LCM(45013,45018) = 2026395234