What is the Least Common Multiple of 32684 and 32697?

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 32684 and 32697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32684 and 32697, than apply into the LCM equation.

GCF(32684,32697) = 1
LCM(32684,32697) = ( 32684 × 32697) / 1
LCM(32684,32697) = 1068668748 / 1
LCM(32684,32697) = 1068668748

Least Common Multiple (LCM) of 32684 and 32697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32684 and 32697. First we will calculate the prime factors of 32684 and 32697.

Prime Factorization of 32684

Prime Factorization of 32697

Now multiplying the highest exponent prime factors to calculate the LCM of 32684 and 32697.

LCM(32684,32697) = 2² × 8171¹ × 3³ × 7¹ × 173¹
LCM(32684,32697) = 1068668748