What is the Least Common Multiple of 69904 and 69914?

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 69904 and 69914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69904 and 69914, than apply into the LCM equation.

GCF(69904,69914) = 2
LCM(69904,69914) = ( 69904 × 69914) / 2
LCM(69904,69914) = 4887268256 / 2
LCM(69904,69914) = 2443634128

Least Common Multiple (LCM) of 69904 and 69914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69904 and 69914. First we will calculate the prime factors of 69904 and 69914.

Prime Factorization of 69904

Prime Factorization of 69914

Now multiplying the highest exponent prime factors to calculate the LCM of 69904 and 69914.

LCM(69904,69914) = 2⁴ × 17¹ × 257¹ × 13¹ × 2689¹
LCM(69904,69914) = 2443634128