What is the Least Common Multiple of 30888 and 30896?

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 30888 and 30896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30888 and 30896, than apply into the LCM equation.

GCF(30888,30896) = 8
LCM(30888,30896) = ( 30888 × 30896) / 8
LCM(30888,30896) = 954315648 / 8
LCM(30888,30896) = 119289456

Least Common Multiple (LCM) of 30888 and 30896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30888 and 30896. First we will calculate the prime factors of 30888 and 30896.

Prime Factorization of 30888

Prime Factorization of 30896

Now multiplying the highest exponent prime factors to calculate the LCM of 30888 and 30896.

LCM(30888,30896) = 2⁴ × 3³ × 11¹ × 13¹ × 1931¹
LCM(30888,30896) = 119289456