GCF and LCM Calculator Logo

What is the Least Common Multiple of 12250 and 12258?

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 12250 and 12258 is 75080250.

LCM(12250,12258) = 75080250

LCM Calculator and
and

Least Common Multiple of 12250 and 12258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12250 and 12258, than apply into the LCM equation.

GCF(12250,12258) = 2
LCM(12250,12258) = ( 12250 × 12258) / 2
LCM(12250,12258) = 150160500 / 2
LCM(12250,12258) = 75080250

Least Common Multiple (LCM) of 12250 and 12258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12250 and 12258. First we will calculate the prime factors of 12250 and 12258.

Prime Factorization of 12250

Prime factors of 12250 are 2, 5, 7. Prime factorization of 12250 in exponential form is:

12250 = 21 × 53 × 72

Prime Factorization of 12258

Prime factors of 12258 are 2, 3, 227. Prime factorization of 12258 in exponential form is:

12258 = 21 × 33 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 12250 and 12258.

LCM(12250,12258) = 21 × 53 × 72 × 33 × 2271
LCM(12250,12258) = 75080250