GCF and LCM Calculator Logo

What is the Least Common Multiple of 2105 and 2113?

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 2105 and 2113 is 4447865.

LCM(2105,2113) = 4447865

LCM Calculator and
and

Least Common Multiple of 2105 and 2113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2105 and 2113, than apply into the LCM equation.

GCF(2105,2113) = 1
LCM(2105,2113) = ( 2105 × 2113) / 1
LCM(2105,2113) = 4447865 / 1
LCM(2105,2113) = 4447865

Least Common Multiple (LCM) of 2105 and 2113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2105 and 2113. First we will calculate the prime factors of 2105 and 2113.

Prime Factorization of 2105

Prime factors of 2105 are 5, 421. Prime factorization of 2105 in exponential form is:

2105 = 51 × 4211

Prime Factorization of 2113

Prime factors of 2113 are 2113. Prime factorization of 2113 in exponential form is:

2113 = 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 2105 and 2113.

LCM(2105,2113) = 51 × 4211 × 21131
LCM(2105,2113) = 4447865