What is the Least Common Multiple of 32333 and 32341?

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 32333 and 32341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32333 and 32341, than apply into the LCM equation.

GCF(32333,32341) = 1
LCM(32333,32341) = ( 32333 × 32341) / 1
LCM(32333,32341) = 1045681553 / 1
LCM(32333,32341) = 1045681553

Least Common Multiple (LCM) of 32333 and 32341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32333 and 32341. First we will calculate the prime factors of 32333 and 32341.

Prime Factorization of 32333

Prime Factorization of 32341

Now multiplying the highest exponent prime factors to calculate the LCM of 32333 and 32341.

LCM(32333,32341) = 7¹ × 31¹ × 149¹ × 32341¹
LCM(32333,32341) = 1045681553