What is the Least Common Multiple of 10675 and 10689?

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 10689 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 10689, than apply into the LCM equation.

GCF(10675,10689) = 7
LCM(10675,10689) = ( 10675 × 10689) / 7
LCM(10675,10689) = 114105075 / 7
LCM(10675,10689) = 16300725

Least Common Multiple (LCM) of 10675 and 10689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10675 and 10689. First we will calculate the prime factors of 10675 and 10689.

Prime Factorization of 10675

Prime Factorization of 10689

Now multiplying the highest exponent prime factors to calculate the LCM of 10675 and 10689.

LCM(10675,10689) = 5² × 7¹ × 61¹ × 3¹ × 509¹
LCM(10675,10689) = 16300725