What is the Least Common Multiple of 84831 and 84843?

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 84831 and 84843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84831 and 84843, than apply into the LCM equation.

GCF(84831,84843) = 3
LCM(84831,84843) = ( 84831 × 84843) / 3
LCM(84831,84843) = 7197316533 / 3
LCM(84831,84843) = 2399105511

Least Common Multiple (LCM) of 84831 and 84843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84831 and 84843. First we will calculate the prime factors of 84831 and 84843.

Prime Factorization of 84831

Prime Factorization of 84843

Now multiplying the highest exponent prime factors to calculate the LCM of 84831 and 84843.

LCM(84831,84843) = 3² × 28277¹ × 11¹ × 857¹
LCM(84831,84843) = 2399105511