What is the Least Common Multiple of 23904 and 23923?

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 23904 and 23923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23904 and 23923, than apply into the LCM equation.

GCF(23904,23923) = 1
LCM(23904,23923) = ( 23904 × 23923) / 1
LCM(23904,23923) = 571855392 / 1
LCM(23904,23923) = 571855392

Least Common Multiple (LCM) of 23904 and 23923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23904 and 23923. First we will calculate the prime factors of 23904 and 23923.

Prime Factorization of 23904

Prime Factorization of 23923

Now multiplying the highest exponent prime factors to calculate the LCM of 23904 and 23923.

LCM(23904,23923) = 2⁵ × 3² × 83¹ × 47¹ × 509¹
LCM(23904,23923) = 571855392