What is the Least Common Multiple of 15597 and 15611?

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 15597 and 15611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15597 and 15611, than apply into the LCM equation.

GCF(15597,15611) = 1
LCM(15597,15611) = ( 15597 × 15611) / 1
LCM(15597,15611) = 243484767 / 1
LCM(15597,15611) = 243484767

Least Common Multiple (LCM) of 15597 and 15611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15597 and 15611. First we will calculate the prime factors of 15597 and 15611.

Prime Factorization of 15597

Prime Factorization of 15611

Now multiplying the highest exponent prime factors to calculate the LCM of 15597 and 15611.

LCM(15597,15611) = 3² × 1733¹ × 67¹ × 233¹
LCM(15597,15611) = 243484767