What is the Least Common Multiple of 8643 and 8663?

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 8643 and 8663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8643 and 8663, than apply into the LCM equation.

GCF(8643,8663) = 1
LCM(8643,8663) = ( 8643 × 8663) / 1
LCM(8643,8663) = 74874309 / 1
LCM(8643,8663) = 74874309

Least Common Multiple (LCM) of 8643 and 8663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8643 and 8663. First we will calculate the prime factors of 8643 and 8663.

Prime Factorization of 8643

Prime Factorization of 8663

Now multiplying the highest exponent prime factors to calculate the LCM of 8643 and 8663.

LCM(8643,8663) = 3¹ × 43¹ × 67¹ × 8663¹
LCM(8643,8663) = 74874309