What is the Least Common Multiple of 9675 and 9687?

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 9675 and 9687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9675 and 9687, than apply into the LCM equation.

GCF(9675,9687) = 3
LCM(9675,9687) = ( 9675 × 9687) / 3
LCM(9675,9687) = 93721725 / 3
LCM(9675,9687) = 31240575

Least Common Multiple (LCM) of 9675 and 9687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9675 and 9687. First we will calculate the prime factors of 9675 and 9687.

Prime Factorization of 9675

Prime Factorization of 9687

Now multiplying the highest exponent prime factors to calculate the LCM of 9675 and 9687.

LCM(9675,9687) = 3² × 5² × 43¹ × 3229¹
LCM(9675,9687) = 31240575