What is the Least Common Multiple of 10665 and 10680?

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 10665 and 10680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10665 and 10680, than apply into the LCM equation.

GCF(10665,10680) = 15
LCM(10665,10680) = ( 10665 × 10680) / 15
LCM(10665,10680) = 113902200 / 15
LCM(10665,10680) = 7593480

Least Common Multiple (LCM) of 10665 and 10680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10665 and 10680. First we will calculate the prime factors of 10665 and 10680.

Prime Factorization of 10665

Prime Factorization of 10680

Now multiplying the highest exponent prime factors to calculate the LCM of 10665 and 10680.

LCM(10665,10680) = 3³ × 5¹ × 79¹ × 2³ × 89¹
LCM(10665,10680) = 7593480