What is the Least Common Multiple of 2904 and 2910?

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 2910 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 2910, than apply into the LCM equation.

GCF(2904,2910) = 6
LCM(2904,2910) = ( 2904 × 2910) / 6
LCM(2904,2910) = 8450640 / 6
LCM(2904,2910) = 1408440

Least Common Multiple (LCM) of 2904 and 2910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2904 and 2910. First we will calculate the prime factors of 2904 and 2910.

Prime Factorization of 2904

Prime Factorization of 2910

Now multiplying the highest exponent prime factors to calculate the LCM of 2904 and 2910.

LCM(2904,2910) = 2³ × 3¹ × 11² × 5¹ × 97¹
LCM(2904,2910) = 1408440