GCF and LCM Calculator Logo

What is the Least Common Multiple of 12245 and 12259?

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 12245 and 12259 is 150111455.

LCM(12245,12259) = 150111455

LCM Calculator and
and

Least Common Multiple of 12245 and 12259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12245 and 12259, than apply into the LCM equation.

GCF(12245,12259) = 1
LCM(12245,12259) = ( 12245 × 12259) / 1
LCM(12245,12259) = 150111455 / 1
LCM(12245,12259) = 150111455

Least Common Multiple (LCM) of 12245 and 12259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12245 and 12259. First we will calculate the prime factors of 12245 and 12259.

Prime Factorization of 12245

Prime factors of 12245 are 5, 31, 79. Prime factorization of 12245 in exponential form is:

12245 = 51 × 311 × 791

Prime Factorization of 12259

Prime factors of 12259 are 13, 23, 41. Prime factorization of 12259 in exponential form is:

12259 = 131 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 12245 and 12259.

LCM(12245,12259) = 51 × 311 × 791 × 131 × 231 × 411
LCM(12245,12259) = 150111455