What is the Least Common Multiple of 8680 and 8689?

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 8689 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 8689, than apply into the LCM equation.

GCF(8680,8689) = 1
LCM(8680,8689) = ( 8680 × 8689) / 1
LCM(8680,8689) = 75420520 / 1
LCM(8680,8689) = 75420520

Least Common Multiple (LCM) of 8680 and 8689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8680 and 8689. First we will calculate the prime factors of 8680 and 8689.

Prime Factorization of 8680

Prime Factorization of 8689

Now multiplying the highest exponent prime factors to calculate the LCM of 8680 and 8689.

LCM(8680,8689) = 2³ × 5¹ × 7¹ × 31¹ × 8689¹
LCM(8680,8689) = 75420520