What is the Least Common Multiple of 32854 and 32871?

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 32871 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 32871, than apply into the LCM equation.

GCF(32854,32871) = 1
LCM(32854,32871) = ( 32854 × 32871) / 1
LCM(32854,32871) = 1079943834 / 1
LCM(32854,32871) = 1079943834

Least Common Multiple (LCM) of 32854 and 32871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32854 and 32871. First we will calculate the prime factors of 32854 and 32871.

Prime Factorization of 32854

Prime Factorization of 32871

Now multiplying the highest exponent prime factors to calculate the LCM of 32854 and 32871.

LCM(32854,32871) = 2¹ × 16427¹ × 3¹ × 10957¹
LCM(32854,32871) = 1079943834