What is the Least Common Multiple of 47904 and 47914?

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 47904 and 47914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47904 and 47914, than apply into the LCM equation.

GCF(47904,47914) = 2
LCM(47904,47914) = ( 47904 × 47914) / 2
LCM(47904,47914) = 2295272256 / 2
LCM(47904,47914) = 1147636128

Least Common Multiple (LCM) of 47904 and 47914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47904 and 47914. First we will calculate the prime factors of 47904 and 47914.

Prime Factorization of 47904

Prime Factorization of 47914

Now multiplying the highest exponent prime factors to calculate the LCM of 47904 and 47914.

LCM(47904,47914) = 2⁵ × 3¹ × 499¹ × 23957¹
LCM(47904,47914) = 1147636128