What is the Least Common Multiple of 32802 and 32814?

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 32802 and 32814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32802 and 32814, than apply into the LCM equation.

GCF(32802,32814) = 6
LCM(32802,32814) = ( 32802 × 32814) / 6
LCM(32802,32814) = 1076364828 / 6
LCM(32802,32814) = 179394138

Least Common Multiple (LCM) of 32802 and 32814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32802 and 32814. First we will calculate the prime factors of 32802 and 32814.

Prime Factorization of 32802

Prime Factorization of 32814

Now multiplying the highest exponent prime factors to calculate the LCM of 32802 and 32814.

LCM(32802,32814) = 2¹ × 3² × 7¹ × 11¹ × 71¹ × 1823¹
LCM(32802,32814) = 179394138