What is the Least Common Multiple of 84819 and 84829?

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 84819 and 84829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84819 and 84829, than apply into the LCM equation.

GCF(84819,84829) = 1
LCM(84819,84829) = ( 84819 × 84829) / 1
LCM(84819,84829) = 7195110951 / 1
LCM(84819,84829) = 7195110951

Least Common Multiple (LCM) of 84819 and 84829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84819 and 84829. First we will calculate the prime factors of 84819 and 84829.

Prime Factorization of 84819

Prime Factorization of 84829

Now multiplying the highest exponent prime factors to calculate the LCM of 84819 and 84829.

LCM(84819,84829) = 3¹ × 7² × 577¹ × 41¹ × 2069¹
LCM(84819,84829) = 7195110951