GCF and LCM Calculator Logo

What is the Least Common Multiple of 18381 and 18396?

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 18381 and 18396 is 112712292.

LCM(18381,18396) = 112712292

LCM Calculator and
and

Least Common Multiple of 18381 and 18396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18381 and 18396, than apply into the LCM equation.

GCF(18381,18396) = 3
LCM(18381,18396) = ( 18381 × 18396) / 3
LCM(18381,18396) = 338136876 / 3
LCM(18381,18396) = 112712292

Least Common Multiple (LCM) of 18381 and 18396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18381 and 18396. First we will calculate the prime factors of 18381 and 18396.

Prime Factorization of 18381

Prime factors of 18381 are 3, 11, 557. Prime factorization of 18381 in exponential form is:

18381 = 31 × 111 × 5571

Prime Factorization of 18396

Prime factors of 18396 are 2, 3, 7, 73. Prime factorization of 18396 in exponential form is:

18396 = 22 × 32 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 18381 and 18396.

LCM(18381,18396) = 32 × 111 × 5571 × 22 × 71 × 731
LCM(18381,18396) = 112712292