What is the Least Common Multiple of 13601 and 13609?

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 13601 and 13609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13601 and 13609, than apply into the LCM equation.

GCF(13601,13609) = 1
LCM(13601,13609) = ( 13601 × 13609) / 1
LCM(13601,13609) = 185096009 / 1
LCM(13601,13609) = 185096009

Least Common Multiple (LCM) of 13601 and 13609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13601 and 13609. First we will calculate the prime factors of 13601 and 13609.

Prime Factorization of 13601

Prime Factorization of 13609

Now multiplying the highest exponent prime factors to calculate the LCM of 13601 and 13609.

LCM(13601,13609) = 7¹ × 29¹ × 67¹ × 31¹ × 439¹
LCM(13601,13609) = 185096009