GCF and LCM Calculator Logo

What is the Least Common Multiple of 18810 and 18818?

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 18810 and 18818 is 176983290.

LCM(18810,18818) = 176983290

LCM Calculator and
and

Least Common Multiple of 18810 and 18818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18810 and 18818, than apply into the LCM equation.

GCF(18810,18818) = 2
LCM(18810,18818) = ( 18810 × 18818) / 2
LCM(18810,18818) = 353966580 / 2
LCM(18810,18818) = 176983290

Least Common Multiple (LCM) of 18810 and 18818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18810 and 18818. First we will calculate the prime factors of 18810 and 18818.

Prime Factorization of 18810

Prime factors of 18810 are 2, 3, 5, 11, 19. Prime factorization of 18810 in exponential form is:

18810 = 21 × 32 × 51 × 111 × 191

Prime Factorization of 18818

Prime factors of 18818 are 2, 97. Prime factorization of 18818 in exponential form is:

18818 = 21 × 972

Now multiplying the highest exponent prime factors to calculate the LCM of 18810 and 18818.

LCM(18810,18818) = 21 × 32 × 51 × 111 × 191 × 972
LCM(18810,18818) = 176983290