What is the Least Common Multiple of 45207 and 45219?

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 45207 and 45219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45207 and 45219, than apply into the LCM equation.

GCF(45207,45219) = 3
LCM(45207,45219) = ( 45207 × 45219) / 3
LCM(45207,45219) = 2044215333 / 3
LCM(45207,45219) = 681405111

Least Common Multiple (LCM) of 45207 and 45219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45207 and 45219. First we will calculate the prime factors of 45207 and 45219.

Prime Factorization of 45207

Prime Factorization of 45219

Now multiplying the highest exponent prime factors to calculate the LCM of 45207 and 45219.

LCM(45207,45219) = 3² × 5023¹ × 15073¹
LCM(45207,45219) = 681405111