GCF and LCM Calculator Logo

What is the Least Common Multiple of 18598 and 18615?

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 18598 and 18615 is 20364810.

LCM(18598,18615) = 20364810

LCM Calculator and
and

Least Common Multiple of 18598 and 18615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18598 and 18615, than apply into the LCM equation.

GCF(18598,18615) = 17
LCM(18598,18615) = ( 18598 × 18615) / 17
LCM(18598,18615) = 346201770 / 17
LCM(18598,18615) = 20364810

Least Common Multiple (LCM) of 18598 and 18615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18598 and 18615. First we will calculate the prime factors of 18598 and 18615.

Prime Factorization of 18598

Prime factors of 18598 are 2, 17, 547. Prime factorization of 18598 in exponential form is:

18598 = 21 × 171 × 5471

Prime Factorization of 18615

Prime factors of 18615 are 3, 5, 17, 73. Prime factorization of 18615 in exponential form is:

18615 = 31 × 51 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 18598 and 18615.

LCM(18598,18615) = 21 × 171 × 5471 × 31 × 51 × 731
LCM(18598,18615) = 20364810