What is the Least Common Multiple of 10675 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 10675 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 10675 and 10680, than apply into the LCM equation.

GCF(10675,10680) = 5
LCM(10675,10680) = ( 10675 × 10680) / 5
LCM(10675,10680) = 114009000 / 5
LCM(10675,10680) = 22801800

Least Common Multiple (LCM) of 10675 and 10680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10675 and 10680. First we will calculate the prime factors of 10675 and 10680.

Prime Factorization of 10675

Prime Factorization of 10680

Now multiplying the highest exponent prime factors to calculate the LCM of 10675 and 10680.

LCM(10675,10680) = 5² × 7¹ × 61¹ × 2³ × 3¹ × 89¹
LCM(10675,10680) = 22801800