What is the Least Common Multiple of 10647 and 10653?

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 10647 and 10653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10647 and 10653, than apply into the LCM equation.

GCF(10647,10653) = 3
LCM(10647,10653) = ( 10647 × 10653) / 3
LCM(10647,10653) = 113422491 / 3
LCM(10647,10653) = 37807497

Least Common Multiple (LCM) of 10647 and 10653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10647 and 10653. First we will calculate the prime factors of 10647 and 10653.

Prime Factorization of 10647

Prime Factorization of 10653

Now multiplying the highest exponent prime factors to calculate the LCM of 10647 and 10653.

LCM(10647,10653) = 3² × 7¹ × 13² × 53¹ × 67¹
LCM(10647,10653) = 37807497