GCF and LCM Calculator Logo

What is the Least Common Multiple of 4178 and 4185?

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 4178 and 4185 is 17484930.

LCM(4178,4185) = 17484930

LCM Calculator and
and

Least Common Multiple of 4178 and 4185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4178 and 4185, than apply into the LCM equation.

GCF(4178,4185) = 1
LCM(4178,4185) = ( 4178 × 4185) / 1
LCM(4178,4185) = 17484930 / 1
LCM(4178,4185) = 17484930

Least Common Multiple (LCM) of 4178 and 4185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4178 and 4185. First we will calculate the prime factors of 4178 and 4185.

Prime Factorization of 4178

Prime factors of 4178 are 2, 2089. Prime factorization of 4178 in exponential form is:

4178 = 21 × 20891

Prime Factorization of 4185

Prime factors of 4185 are 3, 5, 31. Prime factorization of 4185 in exponential form is:

4185 = 33 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4178 and 4185.

LCM(4178,4185) = 21 × 20891 × 33 × 51 × 311
LCM(4178,4185) = 17484930