What is the Least Common Multiple of 8649 and 8667?

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 8649 and 8667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8649 and 8667, than apply into the LCM equation.

GCF(8649,8667) = 9
LCM(8649,8667) = ( 8649 × 8667) / 9
LCM(8649,8667) = 74960883 / 9
LCM(8649,8667) = 8328987

Least Common Multiple (LCM) of 8649 and 8667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8649 and 8667. First we will calculate the prime factors of 8649 and 8667.

Prime Factorization of 8649

Prime Factorization of 8667

Now multiplying the highest exponent prime factors to calculate the LCM of 8649 and 8667.

LCM(8649,8667) = 3⁴ × 31² × 107¹
LCM(8649,8667) = 8328987