GCF and LCM Calculator Logo

What is the Least Common Multiple of 12242 and 12257?

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 12242 and 12257 is 150050194.

LCM(12242,12257) = 150050194

LCM Calculator and
and

Least Common Multiple of 12242 and 12257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12242 and 12257, than apply into the LCM equation.

GCF(12242,12257) = 1
LCM(12242,12257) = ( 12242 × 12257) / 1
LCM(12242,12257) = 150050194 / 1
LCM(12242,12257) = 150050194

Least Common Multiple (LCM) of 12242 and 12257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12242 and 12257. First we will calculate the prime factors of 12242 and 12257.

Prime Factorization of 12242

Prime factors of 12242 are 2, 6121. Prime factorization of 12242 in exponential form is:

12242 = 21 × 61211

Prime Factorization of 12257

Prime factors of 12257 are 7, 17, 103. Prime factorization of 12257 in exponential form is:

12257 = 71 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 12242 and 12257.

LCM(12242,12257) = 21 × 61211 × 71 × 171 × 1031
LCM(12242,12257) = 150050194