GCF and LCM Calculator Logo

What is the Least Common Multiple of 17412 and 17426?

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 17412 and 17426 is 151710756.

LCM(17412,17426) = 151710756

LCM Calculator and
and

Least Common Multiple of 17412 and 17426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17412 and 17426, than apply into the LCM equation.

GCF(17412,17426) = 2
LCM(17412,17426) = ( 17412 × 17426) / 2
LCM(17412,17426) = 303421512 / 2
LCM(17412,17426) = 151710756

Least Common Multiple (LCM) of 17412 and 17426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17412 and 17426. First we will calculate the prime factors of 17412 and 17426.

Prime Factorization of 17412

Prime factors of 17412 are 2, 3, 1451. Prime factorization of 17412 in exponential form is:

17412 = 22 × 31 × 14511

Prime Factorization of 17426

Prime factors of 17426 are 2, 8713. Prime factorization of 17426 in exponential form is:

17426 = 21 × 87131

Now multiplying the highest exponent prime factors to calculate the LCM of 17412 and 17426.

LCM(17412,17426) = 22 × 31 × 14511 × 87131
LCM(17412,17426) = 151710756