What is the Least Common Multiple of 10928 and 10947?

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 10928 and 10947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10928 and 10947, than apply into the LCM equation.

GCF(10928,10947) = 1
LCM(10928,10947) = ( 10928 × 10947) / 1
LCM(10928,10947) = 119628816 / 1
LCM(10928,10947) = 119628816

Least Common Multiple (LCM) of 10928 and 10947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10928 and 10947. First we will calculate the prime factors of 10928 and 10947.

Prime Factorization of 10928

Prime Factorization of 10947

Now multiplying the highest exponent prime factors to calculate the LCM of 10928 and 10947.

LCM(10928,10947) = 2⁴ × 683¹ × 3¹ × 41¹ × 89¹
LCM(10928,10947) = 119628816