GCF and LCM Calculator Logo

What is the Least Common Multiple of 18607 and 18619?

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 18607 and 18619 is 346443733.

LCM(18607,18619) = 346443733

LCM Calculator and
and

Least Common Multiple of 18607 and 18619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18607 and 18619, than apply into the LCM equation.

GCF(18607,18619) = 1
LCM(18607,18619) = ( 18607 × 18619) / 1
LCM(18607,18619) = 346443733 / 1
LCM(18607,18619) = 346443733

Least Common Multiple (LCM) of 18607 and 18619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18607 and 18619. First we will calculate the prime factors of 18607 and 18619.

Prime Factorization of 18607

Prime factors of 18607 are 23, 809. Prime factorization of 18607 in exponential form is:

18607 = 231 × 8091

Prime Factorization of 18619

Prime factors of 18619 are 43, 433. Prime factorization of 18619 in exponential form is:

18619 = 431 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 18607 and 18619.

LCM(18607,18619) = 231 × 8091 × 431 × 4331
LCM(18607,18619) = 346443733