What is the Least Common Multiple of 23904 and 23914?

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 23914 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 23914, than apply into the LCM equation.

GCF(23904,23914) = 2
LCM(23904,23914) = ( 23904 × 23914) / 2
LCM(23904,23914) = 571640256 / 2
LCM(23904,23914) = 285820128

Least Common Multiple (LCM) of 23904 and 23914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23904 and 23914. First we will calculate the prime factors of 23904 and 23914.

Prime Factorization of 23904

Prime Factorization of 23914

Now multiplying the highest exponent prime factors to calculate the LCM of 23904 and 23914.

LCM(23904,23914) = 2⁵ × 3² × 83¹ × 11¹ × 1087¹
LCM(23904,23914) = 285820128