What is the Least Common Multiple of 45036 and 45045?

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 45036 and 45045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45036 and 45045, than apply into the LCM equation.

GCF(45036,45045) = 9
LCM(45036,45045) = ( 45036 × 45045) / 9
LCM(45036,45045) = 2028646620 / 9
LCM(45036,45045) = 225405180

Least Common Multiple (LCM) of 45036 and 45045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45036 and 45045. First we will calculate the prime factors of 45036 and 45045.

Prime Factorization of 45036

Prime Factorization of 45045

Now multiplying the highest exponent prime factors to calculate the LCM of 45036 and 45045.

LCM(45036,45045) = 2² × 3⁴ × 139¹ × 5¹ × 7¹ × 11¹ × 13¹
LCM(45036,45045) = 225405180