What is the Least Common Multiple of 24904 and 24914?

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 24904 and 24914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24904 and 24914, than apply into the LCM equation.

GCF(24904,24914) = 2
LCM(24904,24914) = ( 24904 × 24914) / 2
LCM(24904,24914) = 620458256 / 2
LCM(24904,24914) = 310229128

Least Common Multiple (LCM) of 24904 and 24914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24904 and 24914. First we will calculate the prime factors of 24904 and 24914.

Prime Factorization of 24904

Prime Factorization of 24914

Now multiplying the highest exponent prime factors to calculate the LCM of 24904 and 24914.

LCM(24904,24914) = 2³ × 11¹ × 283¹ × 12457¹
LCM(24904,24914) = 310229128