What is the Least Common Multiple of 15658 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 15658 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 15658 and 15664, than apply into the LCM equation.

GCF(15658,15664) = 2
LCM(15658,15664) = ( 15658 × 15664) / 2
LCM(15658,15664) = 245266912 / 2
LCM(15658,15664) = 122633456

Least Common Multiple (LCM) of 15658 and 15664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15658 and 15664. First we will calculate the prime factors of 15658 and 15664.

Prime Factorization of 15658

Prime Factorization of 15664

Now multiplying the highest exponent prime factors to calculate the LCM of 15658 and 15664.

LCM(15658,15664) = 2⁴ × 7829¹ × 11¹ × 89¹
LCM(15658,15664) = 122633456