What is the Least Common Multiple of 84916 and 84929?

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 84916 and 84929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84916 and 84929, than apply into the LCM equation.

GCF(84916,84929) = 13
LCM(84916,84929) = ( 84916 × 84929) / 13
LCM(84916,84929) = 7211830964 / 13
LCM(84916,84929) = 554756228

Least Common Multiple (LCM) of 84916 and 84929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84916 and 84929. First we will calculate the prime factors of 84916 and 84929.

Prime Factorization of 84916

Prime Factorization of 84929

Now multiplying the highest exponent prime factors to calculate the LCM of 84916 and 84929.

LCM(84916,84929) = 2² × 13¹ × 23¹ × 71¹ × 47¹ × 139¹
LCM(84916,84929) = 554756228