GCF and LCM Calculator Logo

What is the Least Common Multiple of 18216 and 18236?

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 18216 and 18236 is 83046744.

LCM(18216,18236) = 83046744

LCM Calculator and
and

Least Common Multiple of 18216 and 18236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18216 and 18236, than apply into the LCM equation.

GCF(18216,18236) = 4
LCM(18216,18236) = ( 18216 × 18236) / 4
LCM(18216,18236) = 332186976 / 4
LCM(18216,18236) = 83046744

Least Common Multiple (LCM) of 18216 and 18236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18216 and 18236. First we will calculate the prime factors of 18216 and 18236.

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

Prime Factorization of 18236

Prime factors of 18236 are 2, 47, 97. Prime factorization of 18236 in exponential form is:

18236 = 22 × 471 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 18216 and 18236.

LCM(18216,18236) = 23 × 32 × 111 × 231 × 471 × 971
LCM(18216,18236) = 83046744