GCF and LCM Calculator Logo

What is the Least Common Multiple of 15530 and 15539?

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 15530 and 15539 is 241320670.

LCM(15530,15539) = 241320670

LCM Calculator and
and

Least Common Multiple of 15530 and 15539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15530 and 15539, than apply into the LCM equation.

GCF(15530,15539) = 1
LCM(15530,15539) = ( 15530 × 15539) / 1
LCM(15530,15539) = 241320670 / 1
LCM(15530,15539) = 241320670

Least Common Multiple (LCM) of 15530 and 15539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15530 and 15539. First we will calculate the prime factors of 15530 and 15539.

Prime Factorization of 15530

Prime factors of 15530 are 2, 5, 1553. Prime factorization of 15530 in exponential form is:

15530 = 21 × 51 × 15531

Prime Factorization of 15539

Prime factors of 15539 are 41, 379. Prime factorization of 15539 in exponential form is:

15539 = 411 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 15530 and 15539.

LCM(15530,15539) = 21 × 51 × 15531 × 411 × 3791
LCM(15530,15539) = 241320670