What is the Least Common Multiple of 13597 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 13597 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 13597 and 13609, than apply into the LCM equation.

GCF(13597,13609) = 1
LCM(13597,13609) = ( 13597 × 13609) / 1
LCM(13597,13609) = 185041573 / 1
LCM(13597,13609) = 185041573

Least Common Multiple (LCM) of 13597 and 13609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13597 and 13609. First we will calculate the prime factors of 13597 and 13609.

Prime Factorization of 13597

Prime Factorization of 13609

Now multiplying the highest exponent prime factors to calculate the LCM of 13597 and 13609.

LCM(13597,13609) = 13597¹ × 31¹ × 439¹
LCM(13597,13609) = 185041573