GCF and LCM Calculator Logo

What is the Least Common Multiple of 17434 and 17438?

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 17434 and 17438 is 152007046.

LCM(17434,17438) = 152007046

LCM Calculator and
and

Least Common Multiple of 17434 and 17438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17434 and 17438, than apply into the LCM equation.

GCF(17434,17438) = 2
LCM(17434,17438) = ( 17434 × 17438) / 2
LCM(17434,17438) = 304014092 / 2
LCM(17434,17438) = 152007046

Least Common Multiple (LCM) of 17434 and 17438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17434 and 17438. First we will calculate the prime factors of 17434 and 17438.

Prime Factorization of 17434

Prime factors of 17434 are 2, 23, 379. Prime factorization of 17434 in exponential form is:

17434 = 21 × 231 × 3791

Prime Factorization of 17438

Prime factors of 17438 are 2, 8719. Prime factorization of 17438 in exponential form is:

17438 = 21 × 87191

Now multiplying the highest exponent prime factors to calculate the LCM of 17434 and 17438.

LCM(17434,17438) = 21 × 231 × 3791 × 87191
LCM(17434,17438) = 152007046