What is the Least Common Multiple of 10653 and 10671?

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 10653 and 10671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10653 and 10671, than apply into the LCM equation.

GCF(10653,10671) = 3
LCM(10653,10671) = ( 10653 × 10671) / 3
LCM(10653,10671) = 113678163 / 3
LCM(10653,10671) = 37892721

Least Common Multiple (LCM) of 10653 and 10671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10653 and 10671. First we will calculate the prime factors of 10653 and 10671.

Prime Factorization of 10653

Prime Factorization of 10671

Now multiplying the highest exponent prime factors to calculate the LCM of 10653 and 10671.

LCM(10653,10671) = 3¹ × 53¹ × 67¹ × 3557¹
LCM(10653,10671) = 37892721