What is the Least Common Multiple of 32697 and 32709?

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 32697 and 32709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32697 and 32709, than apply into the LCM equation.

GCF(32697,32709) = 3
LCM(32697,32709) = ( 32697 × 32709) / 3
LCM(32697,32709) = 1069486173 / 3
LCM(32697,32709) = 356495391

Least Common Multiple (LCM) of 32697 and 32709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32697 and 32709. First we will calculate the prime factors of 32697 and 32709.

Prime Factorization of 32697

Prime Factorization of 32709

Now multiplying the highest exponent prime factors to calculate the LCM of 32697 and 32709.

LCM(32697,32709) = 3³ × 7¹ × 173¹ × 10903¹
LCM(32697,32709) = 356495391