What is the Least Common Multiple of 30904 and 30910?

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 30904 and 30910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30904 and 30910, than apply into the LCM equation.

GCF(30904,30910) = 2
LCM(30904,30910) = ( 30904 × 30910) / 2
LCM(30904,30910) = 955242640 / 2
LCM(30904,30910) = 477621320

Least Common Multiple (LCM) of 30904 and 30910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30904 and 30910. First we will calculate the prime factors of 30904 and 30910.

Prime Factorization of 30904

Prime Factorization of 30910

Now multiplying the highest exponent prime factors to calculate the LCM of 30904 and 30910.

LCM(30904,30910) = 2³ × 3863¹ × 5¹ × 11¹ × 281¹
LCM(30904,30910) = 477621320