What is the Least Common Multiple of 84617 and 84631?

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 84617 and 84631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84617 and 84631, than apply into the LCM equation.

GCF(84617,84631) = 1
LCM(84617,84631) = ( 84617 × 84631) / 1
LCM(84617,84631) = 7161221327 / 1
LCM(84617,84631) = 7161221327

Least Common Multiple (LCM) of 84617 and 84631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84617 and 84631. First we will calculate the prime factors of 84617 and 84631.

Prime Factorization of 84617

Prime Factorization of 84631

Now multiplying the highest exponent prime factors to calculate the LCM of 84617 and 84631.

LCM(84617,84631) = 13¹ × 23¹ × 283¹ × 84631¹
LCM(84617,84631) = 7161221327