What is the Least Common Multiple of 30896 and 30902?

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 30896 and 30902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30896 and 30902, than apply into the LCM equation.

GCF(30896,30902) = 2
LCM(30896,30902) = ( 30896 × 30902) / 2
LCM(30896,30902) = 954748192 / 2
LCM(30896,30902) = 477374096

Least Common Multiple (LCM) of 30896 and 30902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30896 and 30902. First we will calculate the prime factors of 30896 and 30902.

Prime Factorization of 30896

Prime Factorization of 30902

Now multiplying the highest exponent prime factors to calculate the LCM of 30896 and 30902.

LCM(30896,30902) = 2⁴ × 1931¹ × 15451¹
LCM(30896,30902) = 477374096