What is the Least Common Multiple of 45084 and 45089?

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 45084 and 45089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45084 and 45089, than apply into the LCM equation.

GCF(45084,45089) = 1
LCM(45084,45089) = ( 45084 × 45089) / 1
LCM(45084,45089) = 2032792476 / 1
LCM(45084,45089) = 2032792476

Least Common Multiple (LCM) of 45084 and 45089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45084 and 45089. First we will calculate the prime factors of 45084 and 45089.

Prime Factorization of 45084

Prime Factorization of 45089

Now multiplying the highest exponent prime factors to calculate the LCM of 45084 and 45089.

LCM(45084,45089) = 2² × 3¹ × 13¹ × 17² × 11¹ × 4099¹
LCM(45084,45089) = 2032792476