What is the Least Common Multiple of 45640 and 45645?

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 45640 and 45645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45640 and 45645, than apply into the LCM equation.

GCF(45640,45645) = 5
LCM(45640,45645) = ( 45640 × 45645) / 5
LCM(45640,45645) = 2083237800 / 5
LCM(45640,45645) = 416647560

Least Common Multiple (LCM) of 45640 and 45645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45640 and 45645. First we will calculate the prime factors of 45640 and 45645.

Prime Factorization of 45640

Prime Factorization of 45645

Now multiplying the highest exponent prime factors to calculate the LCM of 45640 and 45645.

LCM(45640,45645) = 2³ × 5¹ × 7¹ × 163¹ × 3¹ × 17¹ × 179¹
LCM(45640,45645) = 416647560