What is the Least Common Multiple of 3904 and 3910?

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 3904 and 3910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3904 and 3910, than apply into the LCM equation.

GCF(3904,3910) = 2
LCM(3904,3910) = ( 3904 × 3910) / 2
LCM(3904,3910) = 15264640 / 2
LCM(3904,3910) = 7632320

Least Common Multiple (LCM) of 3904 and 3910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3904 and 3910. First we will calculate the prime factors of 3904 and 3910.

Prime Factorization of 3904

Prime Factorization of 3910

Now multiplying the highest exponent prime factors to calculate the LCM of 3904 and 3910.

LCM(3904,3910) = 2⁶ × 61¹ × 5¹ × 17¹ × 23¹
LCM(3904,3910) = 7632320