What is the Least Common Multiple of 28110 and 28128?

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 28110 and 28128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28110 and 28128, than apply into the LCM equation.

GCF(28110,28128) = 6
LCM(28110,28128) = ( 28110 × 28128) / 6
LCM(28110,28128) = 790678080 / 6
LCM(28110,28128) = 131779680

Least Common Multiple (LCM) of 28110 and 28128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28110 and 28128. First we will calculate the prime factors of 28110 and 28128.

Prime Factorization of 28110

Prime Factorization of 28128

Now multiplying the highest exponent prime factors to calculate the LCM of 28110 and 28128.

LCM(28110,28128) = 2⁵ × 3¹ × 5¹ × 937¹ × 293¹
LCM(28110,28128) = 131779680