GCF and LCM Calculator Logo

What is the Least Common Multiple of 12274 and 12287?

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 12274 and 12287 is 150810638.

LCM(12274,12287) = 150810638

LCM Calculator and
and

Least Common Multiple of 12274 and 12287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12274 and 12287, than apply into the LCM equation.

GCF(12274,12287) = 1
LCM(12274,12287) = ( 12274 × 12287) / 1
LCM(12274,12287) = 150810638 / 1
LCM(12274,12287) = 150810638

Least Common Multiple (LCM) of 12274 and 12287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12274 and 12287. First we will calculate the prime factors of 12274 and 12287.

Prime Factorization of 12274

Prime factors of 12274 are 2, 17, 19. Prime factorization of 12274 in exponential form is:

12274 = 21 × 171 × 192

Prime Factorization of 12287

Prime factors of 12287 are 11, 1117. Prime factorization of 12287 in exponential form is:

12287 = 111 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 12274 and 12287.

LCM(12274,12287) = 21 × 171 × 192 × 111 × 11171
LCM(12274,12287) = 150810638