What is the Least Common Multiple of 32844 and 32858?

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 32844 and 32858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32844 and 32858, than apply into the LCM equation.

GCF(32844,32858) = 14
LCM(32844,32858) = ( 32844 × 32858) / 14
LCM(32844,32858) = 1079188152 / 14
LCM(32844,32858) = 77084868

Least Common Multiple (LCM) of 32844 and 32858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32844 and 32858. First we will calculate the prime factors of 32844 and 32858.

Prime Factorization of 32844

Prime Factorization of 32858

Now multiplying the highest exponent prime factors to calculate the LCM of 32844 and 32858.

LCM(32844,32858) = 2² × 3¹ × 7¹ × 17¹ × 23¹ × 2347¹
LCM(32844,32858) = 77084868