What is the Least Common Multiple of 2829 and 2843?

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 2829 and 2843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2829 and 2843, than apply into the LCM equation.

GCF(2829,2843) = 1
LCM(2829,2843) = ( 2829 × 2843) / 1
LCM(2829,2843) = 8042847 / 1
LCM(2829,2843) = 8042847

Least Common Multiple (LCM) of 2829 and 2843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2829 and 2843. First we will calculate the prime factors of 2829 and 2843.

Prime Factorization of 2829

Prime Factorization of 2843

Now multiplying the highest exponent prime factors to calculate the LCM of 2829 and 2843.

LCM(2829,2843) = 3¹ × 23¹ × 41¹ × 2843¹
LCM(2829,2843) = 8042847