What is the Least Common Multiple of 10890 and 10896?

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 10890 and 10896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10890 and 10896, than apply into the LCM equation.

GCF(10890,10896) = 6
LCM(10890,10896) = ( 10890 × 10896) / 6
LCM(10890,10896) = 118657440 / 6
LCM(10890,10896) = 19776240

Least Common Multiple (LCM) of 10890 and 10896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10890 and 10896. First we will calculate the prime factors of 10890 and 10896.

Prime Factorization of 10890

Prime Factorization of 10896

Now multiplying the highest exponent prime factors to calculate the LCM of 10890 and 10896.

LCM(10890,10896) = 2⁴ × 3² × 5¹ × 11² × 227¹
LCM(10890,10896) = 19776240