What is the Least Common Multiple of 32854 and 32872?

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 32854 and 32872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32854 and 32872, than apply into the LCM equation.

GCF(32854,32872) = 2
LCM(32854,32872) = ( 32854 × 32872) / 2
LCM(32854,32872) = 1079976688 / 2
LCM(32854,32872) = 539988344

Least Common Multiple (LCM) of 32854 and 32872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32854 and 32872. First we will calculate the prime factors of 32854 and 32872.

Prime Factorization of 32854

Prime Factorization of 32872

Now multiplying the highest exponent prime factors to calculate the LCM of 32854 and 32872.

LCM(32854,32872) = 2³ × 16427¹ × 7¹ × 587¹
LCM(32854,32872) = 539988344