GCF and LCM Calculator Logo

What is the Least Common Multiple of 13490 and 13508?

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 13490 and 13508 is 91111460.

LCM(13490,13508) = 91111460

LCM Calculator and
and

Least Common Multiple of 13490 and 13508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13490 and 13508, than apply into the LCM equation.

GCF(13490,13508) = 2
LCM(13490,13508) = ( 13490 × 13508) / 2
LCM(13490,13508) = 182222920 / 2
LCM(13490,13508) = 91111460

Least Common Multiple (LCM) of 13490 and 13508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13490 and 13508. First we will calculate the prime factors of 13490 and 13508.

Prime Factorization of 13490

Prime factors of 13490 are 2, 5, 19, 71. Prime factorization of 13490 in exponential form is:

13490 = 21 × 51 × 191 × 711

Prime Factorization of 13508

Prime factors of 13508 are 2, 11, 307. Prime factorization of 13508 in exponential form is:

13508 = 22 × 111 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 13490 and 13508.

LCM(13490,13508) = 22 × 51 × 191 × 711 × 111 × 3071
LCM(13490,13508) = 91111460