What is the Least Common Multiple of 32289 and 32298?

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 32289 and 32298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32289 and 32298, than apply into the LCM equation.

GCF(32289,32298) = 3
LCM(32289,32298) = ( 32289 × 32298) / 3
LCM(32289,32298) = 1042870122 / 3
LCM(32289,32298) = 347623374

Least Common Multiple (LCM) of 32289 and 32298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32289 and 32298. First we will calculate the prime factors of 32289 and 32298.

Prime Factorization of 32289

Prime Factorization of 32298

Now multiplying the highest exponent prime factors to calculate the LCM of 32289 and 32298.

LCM(32289,32298) = 3¹ × 47¹ × 229¹ × 2¹ × 7¹ × 769¹
LCM(32289,32298) = 347623374