What is the Least Common Multiple of 84805 and 84819?

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 84805 and 84819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84805 and 84819, than apply into the LCM equation.

GCF(84805,84819) = 7
LCM(84805,84819) = ( 84805 × 84819) / 7
LCM(84805,84819) = 7193075295 / 7
LCM(84805,84819) = 1027582185

Least Common Multiple (LCM) of 84805 and 84819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84805 and 84819. First we will calculate the prime factors of 84805 and 84819.

Prime Factorization of 84805

Prime Factorization of 84819

Now multiplying the highest exponent prime factors to calculate the LCM of 84805 and 84819.

LCM(84805,84819) = 5¹ × 7² × 2423¹ × 3¹ × 577¹
LCM(84805,84819) = 1027582185