What is the Least Common Multiple of 32085 and 32097?

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 32085 and 32097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32085 and 32097, than apply into the LCM equation.

GCF(32085,32097) = 3
LCM(32085,32097) = ( 32085 × 32097) / 3
LCM(32085,32097) = 1029832245 / 3
LCM(32085,32097) = 343277415

Least Common Multiple (LCM) of 32085 and 32097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32085 and 32097. First we will calculate the prime factors of 32085 and 32097.

Prime Factorization of 32085

Prime Factorization of 32097

Now multiplying the highest exponent prime factors to calculate the LCM of 32085 and 32097.

LCM(32085,32097) = 3² × 5¹ × 23¹ × 31¹ × 13¹ × 823¹
LCM(32085,32097) = 343277415