What is the Least Common Multiple of 13652 and 13664?

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 13652 and 13664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13652 and 13664, than apply into the LCM equation.

GCF(13652,13664) = 4
LCM(13652,13664) = ( 13652 × 13664) / 4
LCM(13652,13664) = 186540928 / 4
LCM(13652,13664) = 46635232

Least Common Multiple (LCM) of 13652 and 13664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13652 and 13664. First we will calculate the prime factors of 13652 and 13664.

Prime Factorization of 13652

Prime Factorization of 13664

Now multiplying the highest exponent prime factors to calculate the LCM of 13652 and 13664.

LCM(13652,13664) = 2⁵ × 3413¹ × 7¹ × 61¹
LCM(13652,13664) = 46635232