What is the Least Common Multiple of 10128 and 10133?

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 10128 and 10133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10128 and 10133, than apply into the LCM equation.

GCF(10128,10133) = 1
LCM(10128,10133) = ( 10128 × 10133) / 1
LCM(10128,10133) = 102627024 / 1
LCM(10128,10133) = 102627024

Least Common Multiple (LCM) of 10128 and 10133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10128 and 10133. First we will calculate the prime factors of 10128 and 10133.

Prime Factorization of 10128

Prime Factorization of 10133

Now multiplying the highest exponent prime factors to calculate the LCM of 10128 and 10133.

LCM(10128,10133) = 2⁴ × 3¹ × 211¹ × 10133¹
LCM(10128,10133) = 102627024