What is the Least Common Multiple of 45072 and 45086?

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 45072 and 45086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45072 and 45086, than apply into the LCM equation.

GCF(45072,45086) = 2
LCM(45072,45086) = ( 45072 × 45086) / 2
LCM(45072,45086) = 2032116192 / 2
LCM(45072,45086) = 1016058096

Least Common Multiple (LCM) of 45072 and 45086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45072 and 45086. First we will calculate the prime factors of 45072 and 45086.

Prime Factorization of 45072

Prime Factorization of 45086

Now multiplying the highest exponent prime factors to calculate the LCM of 45072 and 45086.

LCM(45072,45086) = 2⁴ × 3² × 313¹ × 22543¹
LCM(45072,45086) = 1016058096