GCF and LCM Calculator Logo

What is the Least Common Multiple of 13025 and 13034?

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 13025 and 13034 is 169767850.

LCM(13025,13034) = 169767850

LCM Calculator and
and

Least Common Multiple of 13025 and 13034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13025 and 13034, than apply into the LCM equation.

GCF(13025,13034) = 1
LCM(13025,13034) = ( 13025 × 13034) / 1
LCM(13025,13034) = 169767850 / 1
LCM(13025,13034) = 169767850

Least Common Multiple (LCM) of 13025 and 13034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13025 and 13034. First we will calculate the prime factors of 13025 and 13034.

Prime Factorization of 13025

Prime factors of 13025 are 5, 521. Prime factorization of 13025 in exponential form is:

13025 = 52 × 5211

Prime Factorization of 13034

Prime factors of 13034 are 2, 7, 19. Prime factorization of 13034 in exponential form is:

13034 = 21 × 73 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 13025 and 13034.

LCM(13025,13034) = 52 × 5211 × 21 × 73 × 191
LCM(13025,13034) = 169767850