GCF and LCM Calculator Logo

What is the Least Common Multiple of 11190 and 11194?

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 11190 and 11194 is 62630430.

LCM(11190,11194) = 62630430

LCM Calculator and
and

Least Common Multiple of 11190 and 11194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11190 and 11194, than apply into the LCM equation.

GCF(11190,11194) = 2
LCM(11190,11194) = ( 11190 × 11194) / 2
LCM(11190,11194) = 125260860 / 2
LCM(11190,11194) = 62630430

Least Common Multiple (LCM) of 11190 and 11194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11190 and 11194. First we will calculate the prime factors of 11190 and 11194.

Prime Factorization of 11190

Prime factors of 11190 are 2, 3, 5, 373. Prime factorization of 11190 in exponential form is:

11190 = 21 × 31 × 51 × 3731

Prime Factorization of 11194

Prime factors of 11194 are 2, 29, 193. Prime factorization of 11194 in exponential form is:

11194 = 21 × 291 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 11190 and 11194.

LCM(11190,11194) = 21 × 31 × 51 × 3731 × 291 × 1931
LCM(11190,11194) = 62630430