What is the Least Common Multiple of 13647 and 13667?

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 13647 and 13667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13647 and 13667, than apply into the LCM equation.

GCF(13647,13667) = 1
LCM(13647,13667) = ( 13647 × 13667) / 1
LCM(13647,13667) = 186513549 / 1
LCM(13647,13667) = 186513549

Least Common Multiple (LCM) of 13647 and 13667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13647 and 13667. First we will calculate the prime factors of 13647 and 13667.

Prime Factorization of 13647

Prime Factorization of 13667

Now multiplying the highest exponent prime factors to calculate the LCM of 13647 and 13667.

LCM(13647,13667) = 3¹ × 4549¹ × 79¹ × 173¹
LCM(13647,13667) = 186513549