What is the Least Common Multiple of 32851 and 32867?

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 32851 and 32867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32851 and 32867, than apply into the LCM equation.

GCF(32851,32867) = 1
LCM(32851,32867) = ( 32851 × 32867) / 1
LCM(32851,32867) = 1079713817 / 1
LCM(32851,32867) = 1079713817

Least Common Multiple (LCM) of 32851 and 32867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32851 and 32867. First we will calculate the prime factors of 32851 and 32867.

Prime Factorization of 32851

Prime Factorization of 32867

Now multiplying the highest exponent prime factors to calculate the LCM of 32851 and 32867.

LCM(32851,32867) = 7¹ × 13¹ × 19² × 23¹ × 1429¹
LCM(32851,32867) = 1079713817