GCF and LCM Calculator Logo

What is the Least Common Multiple of 18206 and 18216?

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 18206 and 18216 is 165820248.

LCM(18206,18216) = 165820248

LCM Calculator and
and

Least Common Multiple of 18206 and 18216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18206 and 18216, than apply into the LCM equation.

GCF(18206,18216) = 2
LCM(18206,18216) = ( 18206 × 18216) / 2
LCM(18206,18216) = 331640496 / 2
LCM(18206,18216) = 165820248

Least Common Multiple (LCM) of 18206 and 18216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18206 and 18216. First we will calculate the prime factors of 18206 and 18216.

Prime Factorization of 18206

Prime factors of 18206 are 2, 9103. Prime factorization of 18206 in exponential form is:

18206 = 21 × 91031

Prime Factorization of 18216

Prime factors of 18216 are 2, 3, 11, 23. Prime factorization of 18216 in exponential form is:

18216 = 23 × 32 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 18206 and 18216.

LCM(18206,18216) = 23 × 91031 × 32 × 111 × 231
LCM(18206,18216) = 165820248