What is the Least Common Multiple of 10680 and 10695?

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 10680 and 10695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10680 and 10695, than apply into the LCM equation.

GCF(10680,10695) = 15
LCM(10680,10695) = ( 10680 × 10695) / 15
LCM(10680,10695) = 114222600 / 15
LCM(10680,10695) = 7614840

Least Common Multiple (LCM) of 10680 and 10695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10680 and 10695. First we will calculate the prime factors of 10680 and 10695.

Prime Factorization of 10680

Prime Factorization of 10695

Now multiplying the highest exponent prime factors to calculate the LCM of 10680 and 10695.

LCM(10680,10695) = 2³ × 3¹ × 5¹ × 89¹ × 23¹ × 31¹
LCM(10680,10695) = 7614840