What is the Least Common Multiple of 4105 and 4115?

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 of 4105 and 4115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4105 and 4115, than apply into the LCM equation.

GCF(4105,4115) = 5
LCM(4105,4115) = ( 4105 × 4115) / 5
LCM(4105,4115) = 16892075 / 5
LCM(4105,4115) = 3378415

Least Common Multiple (LCM) of 4105 and 4115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4105 and 4115. First we will calculate the prime factors of 4105 and 4115.

Prime Factorization of 4105

Prime Factorization of 4115

Now multiplying the highest exponent prime factors to calculate the LCM of 4105 and 4115.

LCM(4105,4115) = 5¹ × 821¹ × 823¹
LCM(4105,4115) = 3378415