GCF and LCM Calculator Logo

What is the Least Common Multiple of 12233 and 12253?

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 12233 and 12253 is 149890949.

LCM(12233,12253) = 149890949

LCM Calculator and
and

Least Common Multiple of 12233 and 12253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12233 and 12253, than apply into the LCM equation.

GCF(12233,12253) = 1
LCM(12233,12253) = ( 12233 × 12253) / 1
LCM(12233,12253) = 149890949 / 1
LCM(12233,12253) = 149890949

Least Common Multiple (LCM) of 12233 and 12253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12233 and 12253. First we will calculate the prime factors of 12233 and 12253.

Prime Factorization of 12233

Prime factors of 12233 are 13, 941. Prime factorization of 12233 in exponential form is:

12233 = 131 × 9411

Prime Factorization of 12253

Prime factors of 12253 are 12253. Prime factorization of 12253 in exponential form is:

12253 = 122531

Now multiplying the highest exponent prime factors to calculate the LCM of 12233 and 12253.

LCM(12233,12253) = 131 × 9411 × 122531
LCM(12233,12253) = 149890949