GCF and LCM Calculator Logo

What is the Least Common Multiple of 15581 and 15598?

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 (LCM) of 15581 and 15598 is 243032438.

LCM(15581,15598) = 243032438

LCM Calculator and
and

Least Common Multiple of 15581 and 15598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15581 and 15598, than apply into the LCM equation.

GCF(15581,15598) = 1
LCM(15581,15598) = ( 15581 × 15598) / 1
LCM(15581,15598) = 243032438 / 1
LCM(15581,15598) = 243032438

Least Common Multiple (LCM) of 15581 and 15598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15581 and 15598. First we will calculate the prime factors of 15581 and 15598.

Prime Factorization of 15581

Prime factors of 15581 are 15581. Prime factorization of 15581 in exponential form is:

15581 = 155811

Prime Factorization of 15598

Prime factors of 15598 are 2, 11, 709. Prime factorization of 15598 in exponential form is:

15598 = 21 × 111 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 15581 and 15598.

LCM(15581,15598) = 155811 × 21 × 111 × 7091
LCM(15581,15598) = 243032438