GCF and LCM Calculator Logo

What is the Least Common Multiple of 18176 and 18180?

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 18176 and 18180 is 82609920.

LCM(18176,18180) = 82609920

LCM Calculator and
and

Least Common Multiple of 18176 and 18180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18176 and 18180, than apply into the LCM equation.

GCF(18176,18180) = 4
LCM(18176,18180) = ( 18176 × 18180) / 4
LCM(18176,18180) = 330439680 / 4
LCM(18176,18180) = 82609920

Least Common Multiple (LCM) of 18176 and 18180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18176 and 18180. First we will calculate the prime factors of 18176 and 18180.

Prime Factorization of 18176

Prime factors of 18176 are 2, 71. Prime factorization of 18176 in exponential form is:

18176 = 28 × 711

Prime Factorization of 18180

Prime factors of 18180 are 2, 3, 5, 101. Prime factorization of 18180 in exponential form is:

18180 = 22 × 32 × 51 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 18176 and 18180.

LCM(18176,18180) = 28 × 711 × 32 × 51 × 1011
LCM(18176,18180) = 82609920