What is the Least Common Multiple of 12904 and 12914?

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 12904 and 12914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12904 and 12914, than apply into the LCM equation.

GCF(12904,12914) = 2
LCM(12904,12914) = ( 12904 × 12914) / 2
LCM(12904,12914) = 166642256 / 2
LCM(12904,12914) = 83321128

Least Common Multiple (LCM) of 12904 and 12914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12904 and 12914. First we will calculate the prime factors of 12904 and 12914.

Prime Factorization of 12904

Prime Factorization of 12914

Now multiplying the highest exponent prime factors to calculate the LCM of 12904 and 12914.

LCM(12904,12914) = 2³ × 1613¹ × 11¹ × 587¹
LCM(12904,12914) = 83321128