What is the Least Common Multiple of 45447 and 45465?

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 45447 and 45465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45447 and 45465, than apply into the LCM equation.

GCF(45447,45465) = 3
LCM(45447,45465) = ( 45447 × 45465) / 3
LCM(45447,45465) = 2066247855 / 3
LCM(45447,45465) = 688749285

Least Common Multiple (LCM) of 45447 and 45465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45447 and 45465. First we will calculate the prime factors of 45447 and 45465.

Prime Factorization of 45447

Prime Factorization of 45465

Now multiplying the highest exponent prime factors to calculate the LCM of 45447 and 45465.

LCM(45447,45465) = 3¹ × 15149¹ × 5¹ × 7¹ × 433¹
LCM(45447,45465) = 688749285