GCF and LCM Calculator Logo

What is the Least Common Multiple of 18092 and 18100?

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 18092 and 18100 is 81866300.

LCM(18092,18100) = 81866300

LCM Calculator and
and

Least Common Multiple of 18092 and 18100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18092 and 18100, than apply into the LCM equation.

GCF(18092,18100) = 4
LCM(18092,18100) = ( 18092 × 18100) / 4
LCM(18092,18100) = 327465200 / 4
LCM(18092,18100) = 81866300

Least Common Multiple (LCM) of 18092 and 18100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18092 and 18100. First we will calculate the prime factors of 18092 and 18100.

Prime Factorization of 18092

Prime factors of 18092 are 2, 4523. Prime factorization of 18092 in exponential form is:

18092 = 22 × 45231

Prime Factorization of 18100

Prime factors of 18100 are 2, 5, 181. Prime factorization of 18100 in exponential form is:

18100 = 22 × 52 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 18092 and 18100.

LCM(18092,18100) = 22 × 45231 × 52 × 1811
LCM(18092,18100) = 81866300