What is the Least Common Multiple of 8680 and 8687?

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 8680 and 8687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8680 and 8687, than apply into the LCM equation.

GCF(8680,8687) = 7
LCM(8680,8687) = ( 8680 × 8687) / 7
LCM(8680,8687) = 75403160 / 7
LCM(8680,8687) = 10771880

Least Common Multiple (LCM) of 8680 and 8687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8680 and 8687. First we will calculate the prime factors of 8680 and 8687.

Prime Factorization of 8680

Prime Factorization of 8687

Now multiplying the highest exponent prime factors to calculate the LCM of 8680 and 8687.

LCM(8680,8687) = 2³ × 5¹ × 7¹ × 31¹ × 17¹ × 73¹
LCM(8680,8687) = 10771880