What is the Least Common Multiple of 32781 and 32797?

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 32781 and 32797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32781 and 32797, than apply into the LCM equation.

GCF(32781,32797) = 1
LCM(32781,32797) = ( 32781 × 32797) / 1
LCM(32781,32797) = 1075118457 / 1
LCM(32781,32797) = 1075118457

Least Common Multiple (LCM) of 32781 and 32797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32781 and 32797. First we will calculate the prime factors of 32781 and 32797.

Prime Factorization of 32781

Prime Factorization of 32797

Now multiplying the highest exponent prime factors to calculate the LCM of 32781 and 32797.

LCM(32781,32797) = 3¹ × 7² × 223¹ × 32797¹
LCM(32781,32797) = 1075118457