GCF and LCM Calculator Logo

What is the Least Common Multiple of 8180 and 8186?

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 8180 and 8186 is 33480740.

LCM(8180,8186) = 33480740

LCM Calculator and
and

Least Common Multiple of 8180 and 8186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8180 and 8186, than apply into the LCM equation.

GCF(8180,8186) = 2
LCM(8180,8186) = ( 8180 × 8186) / 2
LCM(8180,8186) = 66961480 / 2
LCM(8180,8186) = 33480740

Least Common Multiple (LCM) of 8180 and 8186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8180 and 8186. First we will calculate the prime factors of 8180 and 8186.

Prime Factorization of 8180

Prime factors of 8180 are 2, 5, 409. Prime factorization of 8180 in exponential form is:

8180 = 22 × 51 × 4091

Prime Factorization of 8186

Prime factors of 8186 are 2, 4093. Prime factorization of 8186 in exponential form is:

8186 = 21 × 40931

Now multiplying the highest exponent prime factors to calculate the LCM of 8180 and 8186.

LCM(8180,8186) = 22 × 51 × 4091 × 40931
LCM(8180,8186) = 33480740