What is the Least Common Multiple of 32277 and 32289?

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 32277 and 32289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32277 and 32289, than apply into the LCM equation.

GCF(32277,32289) = 3
LCM(32277,32289) = ( 32277 × 32289) / 3
LCM(32277,32289) = 1042192053 / 3
LCM(32277,32289) = 347397351

Least Common Multiple (LCM) of 32277 and 32289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32277 and 32289. First we will calculate the prime factors of 32277 and 32289.

Prime Factorization of 32277

Prime Factorization of 32289

Now multiplying the highest exponent prime factors to calculate the LCM of 32277 and 32289.

LCM(32277,32289) = 3¹ × 7¹ × 29¹ × 53¹ × 47¹ × 229¹
LCM(32277,32289) = 347397351