What is the Least Common Multiple of 45024 and 45036?

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 45024 and 45036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45024 and 45036, than apply into the LCM equation.

GCF(45024,45036) = 12
LCM(45024,45036) = ( 45024 × 45036) / 12
LCM(45024,45036) = 2027700864 / 12
LCM(45024,45036) = 168975072

Least Common Multiple (LCM) of 45024 and 45036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45024 and 45036. First we will calculate the prime factors of 45024 and 45036.

Prime Factorization of 45024

Prime Factorization of 45036

Now multiplying the highest exponent prime factors to calculate the LCM of 45024 and 45036.

LCM(45024,45036) = 2⁵ × 3⁴ × 7¹ × 67¹ × 139¹
LCM(45024,45036) = 168975072