What is the Least Common Multiple of 13608 and 13621?

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 13621 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 13621, than apply into the LCM equation.

GCF(13608,13621) = 1
LCM(13608,13621) = ( 13608 × 13621) / 1
LCM(13608,13621) = 185354568 / 1
LCM(13608,13621) = 185354568

Least Common Multiple (LCM) of 13608 and 13621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13608 and 13621. First we will calculate the prime factors of 13608 and 13621.

Prime Factorization of 13608

Prime Factorization of 13621

Now multiplying the highest exponent prime factors to calculate the LCM of 13608 and 13621.

LCM(13608,13621) = 2³ × 3⁵ × 7¹ × 53¹ × 257¹
LCM(13608,13621) = 185354568