GCF and LCM Calculator Logo

What is the Least Common Multiple of 12545 and 12557?

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 12545 and 12557 is 157527565.

LCM(12545,12557) = 157527565

LCM Calculator and
and

Least Common Multiple of 12545 and 12557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12545 and 12557, than apply into the LCM equation.

GCF(12545,12557) = 1
LCM(12545,12557) = ( 12545 × 12557) / 1
LCM(12545,12557) = 157527565 / 1
LCM(12545,12557) = 157527565

Least Common Multiple (LCM) of 12545 and 12557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12545 and 12557. First we will calculate the prime factors of 12545 and 12557.

Prime Factorization of 12545

Prime factors of 12545 are 5, 13, 193. Prime factorization of 12545 in exponential form is:

12545 = 51 × 131 × 1931

Prime Factorization of 12557

Prime factors of 12557 are 29, 433. Prime factorization of 12557 in exponential form is:

12557 = 291 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 12545 and 12557.

LCM(12545,12557) = 51 × 131 × 1931 × 291 × 4331
LCM(12545,12557) = 157527565