What is the Least Common Multiple of 45012 and 45016?

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 45012 and 45016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45012 and 45016, than apply into the LCM equation.

GCF(45012,45016) = 4
LCM(45012,45016) = ( 45012 × 45016) / 4
LCM(45012,45016) = 2026260192 / 4
LCM(45012,45016) = 506565048

Least Common Multiple (LCM) of 45012 and 45016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45012 and 45016. First we will calculate the prime factors of 45012 and 45016.

Prime Factorization of 45012

Prime Factorization of 45016

Now multiplying the highest exponent prime factors to calculate the LCM of 45012 and 45016.

LCM(45012,45016) = 2³ × 3¹ × 11² × 31¹ × 17¹ × 331¹
LCM(45012,45016) = 506565048