What is the Least Common Multiple of 4099 and 4108?

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 4099 and 4108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4099 and 4108, than apply into the LCM equation.

GCF(4099,4108) = 1
LCM(4099,4108) = ( 4099 × 4108) / 1
LCM(4099,4108) = 16838692 / 1
LCM(4099,4108) = 16838692

Least Common Multiple (LCM) of 4099 and 4108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4099 and 4108. First we will calculate the prime factors of 4099 and 4108.

Prime Factorization of 4099

Prime Factorization of 4108

Now multiplying the highest exponent prime factors to calculate the LCM of 4099 and 4108.

LCM(4099,4108) = 4099¹ × 2² × 13¹ × 79¹
LCM(4099,4108) = 16838692