What is the Least Common Multiple of 96681 and 96687?

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 96681 and 96687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96681 and 96687, than apply into the LCM equation.

GCF(96681,96687) = 3
LCM(96681,96687) = ( 96681 × 96687) / 3
LCM(96681,96687) = 9347795847 / 3
LCM(96681,96687) = 3115931949

Least Common Multiple (LCM) of 96681 and 96687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96681 and 96687. First we will calculate the prime factors of 96681 and 96687.

Prime Factorization of 96681

Prime Factorization of 96687

Now multiplying the highest exponent prime factors to calculate the LCM of 96681 and 96687.

LCM(96681,96687) = 3³ × 13¹ × 37¹ × 67¹ × 3581¹
LCM(96681,96687) = 3115931949