What is the Least Common Multiple of 13668 and 13674?

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 13668 and 13674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13668 and 13674, than apply into the LCM equation.

GCF(13668,13674) = 6
LCM(13668,13674) = ( 13668 × 13674) / 6
LCM(13668,13674) = 186896232 / 6
LCM(13668,13674) = 31149372

Least Common Multiple (LCM) of 13668 and 13674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13668 and 13674. First we will calculate the prime factors of 13668 and 13674.

Prime Factorization of 13668

Prime Factorization of 13674

Now multiplying the highest exponent prime factors to calculate the LCM of 13668 and 13674.

LCM(13668,13674) = 2² × 3¹ × 17¹ × 67¹ × 43¹ × 53¹
LCM(13668,13674) = 31149372