What is the Least Common Multiple of 13683 and 13699?

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 13683 and 13699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13683 and 13699, than apply into the LCM equation.

GCF(13683,13699) = 1
LCM(13683,13699) = ( 13683 × 13699) / 1
LCM(13683,13699) = 187443417 / 1
LCM(13683,13699) = 187443417

Least Common Multiple (LCM) of 13683 and 13699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13683 and 13699. First we will calculate the prime factors of 13683 and 13699.

Prime Factorization of 13683

Prime Factorization of 13699

Now multiplying the highest exponent prime factors to calculate the LCM of 13683 and 13699.

LCM(13683,13699) = 3¹ × 4561¹ × 7¹ × 19¹ × 103¹
LCM(13683,13699) = 187443417