What is the Least Common Multiple of 23633 and 23644?

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 23633 and 23644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23633 and 23644, than apply into the LCM equation.

GCF(23633,23644) = 1
LCM(23633,23644) = ( 23633 × 23644) / 1
LCM(23633,23644) = 558778652 / 1
LCM(23633,23644) = 558778652

Least Common Multiple (LCM) of 23633 and 23644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23633 and 23644. First we will calculate the prime factors of 23633 and 23644.

Prime Factorization of 23633

Prime Factorization of 23644

Now multiplying the highest exponent prime factors to calculate the LCM of 23633 and 23644.

LCM(23633,23644) = 23633¹ × 2² × 23¹ × 257¹
LCM(23633,23644) = 558778652