What is the Least Common Multiple of 15640 and 15645?

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 15640 and 15645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15640 and 15645, than apply into the LCM equation.

GCF(15640,15645) = 5
LCM(15640,15645) = ( 15640 × 15645) / 5
LCM(15640,15645) = 244687800 / 5
LCM(15640,15645) = 48937560

Least Common Multiple (LCM) of 15640 and 15645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15640 and 15645. First we will calculate the prime factors of 15640 and 15645.

Prime Factorization of 15640

Prime Factorization of 15645

Now multiplying the highest exponent prime factors to calculate the LCM of 15640 and 15645.

LCM(15640,15645) = 2³ × 5¹ × 17¹ × 23¹ × 3¹ × 7¹ × 149¹
LCM(15640,15645) = 48937560