What is the Least Common Multiple of 15653 and 15664?

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 15653 and 15664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15653 and 15664, than apply into the LCM equation.

GCF(15653,15664) = 11
LCM(15653,15664) = ( 15653 × 15664) / 11
LCM(15653,15664) = 245188592 / 11
LCM(15653,15664) = 22289872

Least Common Multiple (LCM) of 15653 and 15664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15653 and 15664. First we will calculate the prime factors of 15653 and 15664.

Prime Factorization of 15653

Prime Factorization of 15664

Now multiplying the highest exponent prime factors to calculate the LCM of 15653 and 15664.

LCM(15653,15664) = 11¹ × 1423¹ × 2⁴ × 89¹
LCM(15653,15664) = 22289872