GCF and LCM Calculator Logo

What is the Least Common Multiple of 11239 and 11254?

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 11239 and 11254 is 126483706.

LCM(11239,11254) = 126483706

LCM Calculator and
and

Least Common Multiple of 11239 and 11254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11239 and 11254, than apply into the LCM equation.

GCF(11239,11254) = 1
LCM(11239,11254) = ( 11239 × 11254) / 1
LCM(11239,11254) = 126483706 / 1
LCM(11239,11254) = 126483706

Least Common Multiple (LCM) of 11239 and 11254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11239 and 11254. First we will calculate the prime factors of 11239 and 11254.

Prime Factorization of 11239

Prime factors of 11239 are 11239. Prime factorization of 11239 in exponential form is:

11239 = 112391

Prime Factorization of 11254

Prime factors of 11254 are 2, 17, 331. Prime factorization of 11254 in exponential form is:

11254 = 21 × 171 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 11239 and 11254.

LCM(11239,11254) = 112391 × 21 × 171 × 3311
LCM(11239,11254) = 126483706