GCF and LCM Calculator Logo

What is the Least Common Multiple of 4109 and 4122?

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 4109 and 4122 is 16937298.

LCM(4109,4122) = 16937298

LCM Calculator and
and

Least Common Multiple of 4109 and 4122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4109 and 4122, than apply into the LCM equation.

GCF(4109,4122) = 1
LCM(4109,4122) = ( 4109 × 4122) / 1
LCM(4109,4122) = 16937298 / 1
LCM(4109,4122) = 16937298

Least Common Multiple (LCM) of 4109 and 4122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4109 and 4122. First we will calculate the prime factors of 4109 and 4122.

Prime Factorization of 4109

Prime factors of 4109 are 7, 587. Prime factorization of 4109 in exponential form is:

4109 = 71 × 5871

Prime Factorization of 4122

Prime factors of 4122 are 2, 3, 229. Prime factorization of 4122 in exponential form is:

4122 = 21 × 32 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 4109 and 4122.

LCM(4109,4122) = 71 × 5871 × 21 × 32 × 2291
LCM(4109,4122) = 16937298