What is the Least Common Multiple of 29904 and 29914?

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 29904 and 29914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29904 and 29914, than apply into the LCM equation.

GCF(29904,29914) = 2
LCM(29904,29914) = ( 29904 × 29914) / 2
LCM(29904,29914) = 894548256 / 2
LCM(29904,29914) = 447274128

Least Common Multiple (LCM) of 29904 and 29914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29904 and 29914. First we will calculate the prime factors of 29904 and 29914.

Prime Factorization of 29904

Prime Factorization of 29914

Now multiplying the highest exponent prime factors to calculate the LCM of 29904 and 29914.

LCM(29904,29914) = 2⁴ × 3¹ × 7¹ × 89¹ × 14957¹
LCM(29904,29914) = 447274128