What is the Least Common Multiple of 84705 and 84717?

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 84705 and 84717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84705 and 84717, than apply into the LCM equation.

GCF(84705,84717) = 3
LCM(84705,84717) = ( 84705 × 84717) / 3
LCM(84705,84717) = 7175953485 / 3
LCM(84705,84717) = 2391984495

Least Common Multiple (LCM) of 84705 and 84717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84705 and 84717. First we will calculate the prime factors of 84705 and 84717.

Prime Factorization of 84705

Prime Factorization of 84717

Now multiplying the highest exponent prime factors to calculate the LCM of 84705 and 84717.

LCM(84705,84717) = 3² × 5¹ × 5647¹ × 9413¹
LCM(84705,84717) = 2391984495