GCF and LCM Calculator Logo

What is the Least Common Multiple of 4191 and 4195?

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 4191 and 4195 is 17581245.

LCM(4191,4195) = 17581245

LCM Calculator and
and

Least Common Multiple of 4191 and 4195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4191 and 4195, than apply into the LCM equation.

GCF(4191,4195) = 1
LCM(4191,4195) = ( 4191 × 4195) / 1
LCM(4191,4195) = 17581245 / 1
LCM(4191,4195) = 17581245

Least Common Multiple (LCM) of 4191 and 4195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4191 and 4195. First we will calculate the prime factors of 4191 and 4195.

Prime Factorization of 4191

Prime factors of 4191 are 3, 11, 127. Prime factorization of 4191 in exponential form is:

4191 = 31 × 111 × 1271

Prime Factorization of 4195

Prime factors of 4195 are 5, 839. Prime factorization of 4195 in exponential form is:

4195 = 51 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 4191 and 4195.

LCM(4191,4195) = 31 × 111 × 1271 × 51 × 8391
LCM(4191,4195) = 17581245