What is the Least Common Multiple of 84819 and 84830?

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 84830 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 84830, than apply into the LCM equation.

GCF(84819,84830) = 1
LCM(84819,84830) = ( 84819 × 84830) / 1
LCM(84819,84830) = 7195195770 / 1
LCM(84819,84830) = 7195195770

Least Common Multiple (LCM) of 84819 and 84830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84819 and 84830. First we will calculate the prime factors of 84819 and 84830.

Prime Factorization of 84819

Prime Factorization of 84830

Now multiplying the highest exponent prime factors to calculate the LCM of 84819 and 84830.

LCM(84819,84830) = 3¹ × 7² × 577¹ × 2¹ × 5¹ × 17¹ × 499¹
LCM(84819,84830) = 7195195770