What is the Least Common Multiple of 84145 and 84165?

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 84145 and 84165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84145 and 84165, than apply into the LCM equation.

GCF(84145,84165) = 5
LCM(84145,84165) = ( 84145 × 84165) / 5
LCM(84145,84165) = 7082063925 / 5
LCM(84145,84165) = 1416412785

Least Common Multiple (LCM) of 84145 and 84165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84145 and 84165. First we will calculate the prime factors of 84145 and 84165.

Prime Factorization of 84145

Prime Factorization of 84165

Now multiplying the highest exponent prime factors to calculate the LCM of 84145 and 84165.

LCM(84145,84165) = 5¹ × 16829¹ × 3¹ × 31¹ × 181¹
LCM(84145,84165) = 1416412785