GCF and LCM Calculator Logo

What is the Least Common Multiple of 15910 and 15926?

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 15910 and 15926 is 126691330.

LCM(15910,15926) = 126691330

LCM Calculator and
and

Least Common Multiple of 15910 and 15926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15910 and 15926, than apply into the LCM equation.

GCF(15910,15926) = 2
LCM(15910,15926) = ( 15910 × 15926) / 2
LCM(15910,15926) = 253382660 / 2
LCM(15910,15926) = 126691330

Least Common Multiple (LCM) of 15910 and 15926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15910 and 15926. First we will calculate the prime factors of 15910 and 15926.

Prime Factorization of 15910

Prime factors of 15910 are 2, 5, 37, 43. Prime factorization of 15910 in exponential form is:

15910 = 21 × 51 × 371 × 431

Prime Factorization of 15926

Prime factors of 15926 are 2, 7963. Prime factorization of 15926 in exponential form is:

15926 = 21 × 79631

Now multiplying the highest exponent prime factors to calculate the LCM of 15910 and 15926.

LCM(15910,15926) = 21 × 51 × 371 × 431 × 79631
LCM(15910,15926) = 126691330