What is the Least Common Multiple of 13608 and 13614?

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 13608 and 13614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13608 and 13614, than apply into the LCM equation.

GCF(13608,13614) = 6
LCM(13608,13614) = ( 13608 × 13614) / 6
LCM(13608,13614) = 185259312 / 6
LCM(13608,13614) = 30876552

Least Common Multiple (LCM) of 13608 and 13614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13608 and 13614. First we will calculate the prime factors of 13608 and 13614.

Prime Factorization of 13608

Prime Factorization of 13614

Now multiplying the highest exponent prime factors to calculate the LCM of 13608 and 13614.

LCM(13608,13614) = 2³ × 3⁵ × 7¹ × 2269¹
LCM(13608,13614) = 30876552