What is the Least Common Multiple of 4105 and 4121?

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 4121 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 4121, than apply into the LCM equation.

GCF(4105,4121) = 1
LCM(4105,4121) = ( 4105 × 4121) / 1
LCM(4105,4121) = 16916705 / 1
LCM(4105,4121) = 16916705

Least Common Multiple (LCM) of 4105 and 4121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4105 and 4121. First we will calculate the prime factors of 4105 and 4121.

Prime Factorization of 4105

Prime Factorization of 4121

Now multiplying the highest exponent prime factors to calculate the LCM of 4105 and 4121.

LCM(4105,4121) = 5¹ × 821¹ × 13¹ × 317¹
LCM(4105,4121) = 16916705