GCF and LCM Calculator Logo

What is the Least Common Multiple of 18086 and 18090?

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 18086 and 18090 is 163587870.

LCM(18086,18090) = 163587870

LCM Calculator and
and

Least Common Multiple of 18086 and 18090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18086 and 18090, than apply into the LCM equation.

GCF(18086,18090) = 2
LCM(18086,18090) = ( 18086 × 18090) / 2
LCM(18086,18090) = 327175740 / 2
LCM(18086,18090) = 163587870

Least Common Multiple (LCM) of 18086 and 18090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18086 and 18090. First we will calculate the prime factors of 18086 and 18090.

Prime Factorization of 18086

Prime factors of 18086 are 2, 9043. Prime factorization of 18086 in exponential form is:

18086 = 21 × 90431

Prime Factorization of 18090

Prime factors of 18090 are 2, 3, 5, 67. Prime factorization of 18090 in exponential form is:

18090 = 21 × 33 × 51 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 18086 and 18090.

LCM(18086,18090) = 21 × 90431 × 33 × 51 × 671
LCM(18086,18090) = 163587870