What is the Least Common Multiple of 4092 and 4111?

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 4092 and 4111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4092 and 4111, than apply into the LCM equation.

GCF(4092,4111) = 1
LCM(4092,4111) = ( 4092 × 4111) / 1
LCM(4092,4111) = 16822212 / 1
LCM(4092,4111) = 16822212

Least Common Multiple (LCM) of 4092 and 4111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4092 and 4111. First we will calculate the prime factors of 4092 and 4111.

Prime Factorization of 4092

Prime Factorization of 4111

Now multiplying the highest exponent prime factors to calculate the LCM of 4092 and 4111.

LCM(4092,4111) = 2² × 3¹ × 11¹ × 31¹ × 4111¹
LCM(4092,4111) = 16822212