GCF and LCM Calculator Logo

What is the Least Common Multiple of 30181 and 30186?

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 30181 and 30186 is 911043666.

LCM(30181,30186) = 911043666

LCM Calculator and
and

Least Common Multiple of 30181 and 30186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30181 and 30186, than apply into the LCM equation.

GCF(30181,30186) = 1
LCM(30181,30186) = ( 30181 × 30186) / 1
LCM(30181,30186) = 911043666 / 1
LCM(30181,30186) = 911043666

Least Common Multiple (LCM) of 30181 and 30186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30181 and 30186. First we will calculate the prime factors of 30181 and 30186.

Prime Factorization of 30181

Prime factors of 30181 are 30181. Prime factorization of 30181 in exponential form is:

30181 = 301811

Prime Factorization of 30186

Prime factors of 30186 are 2, 3, 13, 43. Prime factorization of 30186 in exponential form is:

30186 = 21 × 33 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 30181 and 30186.

LCM(30181,30186) = 301811 × 21 × 33 × 131 × 431
LCM(30181,30186) = 911043666