GCF and LCM Calculator Logo

What is the Least Common Multiple of 18765 and 18774?

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 18765 and 18774 is 39143790.

LCM(18765,18774) = 39143790

LCM Calculator and
and

Least Common Multiple of 18765 and 18774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18765 and 18774, than apply into the LCM equation.

GCF(18765,18774) = 9
LCM(18765,18774) = ( 18765 × 18774) / 9
LCM(18765,18774) = 352294110 / 9
LCM(18765,18774) = 39143790

Least Common Multiple (LCM) of 18765 and 18774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18765 and 18774. First we will calculate the prime factors of 18765 and 18774.

Prime Factorization of 18765

Prime factors of 18765 are 3, 5, 139. Prime factorization of 18765 in exponential form is:

18765 = 33 × 51 × 1391

Prime Factorization of 18774

Prime factors of 18774 are 2, 3, 7, 149. Prime factorization of 18774 in exponential form is:

18774 = 21 × 32 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 18765 and 18774.

LCM(18765,18774) = 33 × 51 × 1391 × 21 × 71 × 1491
LCM(18765,18774) = 39143790