What is the Least Common Multiple of 84511 and 84517?

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 84511 and 84517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84511 and 84517, than apply into the LCM equation.

GCF(84511,84517) = 1
LCM(84511,84517) = ( 84511 × 84517) / 1
LCM(84511,84517) = 7142616187 / 1
LCM(84511,84517) = 7142616187

Least Common Multiple (LCM) of 84511 and 84517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84511 and 84517. First we will calculate the prime factors of 84511 and 84517.

Prime Factorization of 84511

Prime Factorization of 84517

Now multiplying the highest exponent prime factors to calculate the LCM of 84511 and 84517.

LCM(84511,84517) = 7¹ × 12073¹ × 223¹ × 379¹
LCM(84511,84517) = 7142616187