GCF and LCM Calculator Logo

What is the Least Common Multiple of 18178 and 18186?

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 18178 and 18186 is 165292554.

LCM(18178,18186) = 165292554

LCM Calculator and
and

Least Common Multiple of 18178 and 18186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18178 and 18186, than apply into the LCM equation.

GCF(18178,18186) = 2
LCM(18178,18186) = ( 18178 × 18186) / 2
LCM(18178,18186) = 330585108 / 2
LCM(18178,18186) = 165292554

Least Common Multiple (LCM) of 18178 and 18186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18178 and 18186. First we will calculate the prime factors of 18178 and 18186.

Prime Factorization of 18178

Prime factors of 18178 are 2, 61, 149. Prime factorization of 18178 in exponential form is:

18178 = 21 × 611 × 1491

Prime Factorization of 18186

Prime factors of 18186 are 2, 3, 7, 433. Prime factorization of 18186 in exponential form is:

18186 = 21 × 31 × 71 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 18178 and 18186.

LCM(18178,18186) = 21 × 611 × 1491 × 31 × 71 × 4331
LCM(18178,18186) = 165292554