GCF and LCM Calculator Logo

What is the Least Common Multiple of 18680 and 18690?

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 18680 and 18690 is 34912920.

LCM(18680,18690) = 34912920

LCM Calculator and
and

Least Common Multiple of 18680 and 18690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18680 and 18690, than apply into the LCM equation.

GCF(18680,18690) = 10
LCM(18680,18690) = ( 18680 × 18690) / 10
LCM(18680,18690) = 349129200 / 10
LCM(18680,18690) = 34912920

Least Common Multiple (LCM) of 18680 and 18690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18680 and 18690. First we will calculate the prime factors of 18680 and 18690.

Prime Factorization of 18680

Prime factors of 18680 are 2, 5, 467. Prime factorization of 18680 in exponential form is:

18680 = 23 × 51 × 4671

Prime Factorization of 18690

Prime factors of 18690 are 2, 3, 5, 7, 89. Prime factorization of 18690 in exponential form is:

18690 = 21 × 31 × 51 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 18680 and 18690.

LCM(18680,18690) = 23 × 51 × 4671 × 31 × 71 × 891
LCM(18680,18690) = 34912920