What is the Least Common Multiple of 2904 and 2914?

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 2904 and 2914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2904 and 2914, than apply into the LCM equation.

GCF(2904,2914) = 2
LCM(2904,2914) = ( 2904 × 2914) / 2
LCM(2904,2914) = 8462256 / 2
LCM(2904,2914) = 4231128

Least Common Multiple (LCM) of 2904 and 2914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2904 and 2914. First we will calculate the prime factors of 2904 and 2914.

Prime Factorization of 2904

Prime Factorization of 2914

Now multiplying the highest exponent prime factors to calculate the LCM of 2904 and 2914.

LCM(2904,2914) = 2³ × 3¹ × 11² × 31¹ × 47¹
LCM(2904,2914) = 4231128