What is the Least Common Multiple of 23338 and 23357?

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 23338 and 23357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23338 and 23357, than apply into the LCM equation.

GCF(23338,23357) = 1
LCM(23338,23357) = ( 23338 × 23357) / 1
LCM(23338,23357) = 545105666 / 1
LCM(23338,23357) = 545105666

Least Common Multiple (LCM) of 23338 and 23357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23338 and 23357. First we will calculate the prime factors of 23338 and 23357.

Prime Factorization of 23338

Prime Factorization of 23357

Now multiplying the highest exponent prime factors to calculate the LCM of 23338 and 23357.

LCM(23338,23357) = 2¹ × 7¹ × 1667¹ × 23357¹
LCM(23338,23357) = 545105666