What is the Least Common Multiple of 84843 and 84854?

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 84843 and 84854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84843 and 84854, than apply into the LCM equation.

GCF(84843,84854) = 11
LCM(84843,84854) = ( 84843 × 84854) / 11
LCM(84843,84854) = 7199267922 / 11
LCM(84843,84854) = 654478902

Least Common Multiple (LCM) of 84843 and 84854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84843 and 84854. First we will calculate the prime factors of 84843 and 84854.

Prime Factorization of 84843

Prime Factorization of 84854

Now multiplying the highest exponent prime factors to calculate the LCM of 84843 and 84854.

LCM(84843,84854) = 3² × 11¹ × 857¹ × 2¹ × 7¹ × 19¹ × 29¹
LCM(84843,84854) = 654478902