What is the Least Common Multiple of 8289 and 8300?

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 8289 and 8300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8289 and 8300, than apply into the LCM equation.

GCF(8289,8300) = 1
LCM(8289,8300) = ( 8289 × 8300) / 1
LCM(8289,8300) = 68798700 / 1
LCM(8289,8300) = 68798700

Least Common Multiple (LCM) of 8289 and 8300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8289 and 8300. First we will calculate the prime factors of 8289 and 8300.

Prime Factorization of 8289

Prime Factorization of 8300

Now multiplying the highest exponent prime factors to calculate the LCM of 8289 and 8300.

LCM(8289,8300) = 3³ × 307¹ × 2² × 5² × 83¹
LCM(8289,8300) = 68798700