What is the Least Common Multiple of 30904 and 30914?

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 30904 and 30914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30904 and 30914, than apply into the LCM equation.

GCF(30904,30914) = 2
LCM(30904,30914) = ( 30904 × 30914) / 2
LCM(30904,30914) = 955366256 / 2
LCM(30904,30914) = 477683128

Least Common Multiple (LCM) of 30904 and 30914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30904 and 30914. First we will calculate the prime factors of 30904 and 30914.

Prime Factorization of 30904

Prime Factorization of 30914

Now multiplying the highest exponent prime factors to calculate the LCM of 30904 and 30914.

LCM(30904,30914) = 2³ × 3863¹ × 13¹ × 29¹ × 41¹
LCM(30904,30914) = 477683128