What is the Least Common Multiple of 8274 and 8289?

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 8274 and 8289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8274 and 8289, than apply into the LCM equation.

GCF(8274,8289) = 3
LCM(8274,8289) = ( 8274 × 8289) / 3
LCM(8274,8289) = 68583186 / 3
LCM(8274,8289) = 22861062

Least Common Multiple (LCM) of 8274 and 8289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8274 and 8289. First we will calculate the prime factors of 8274 and 8289.

Prime Factorization of 8274

Prime Factorization of 8289

Now multiplying the highest exponent prime factors to calculate the LCM of 8274 and 8289.

LCM(8274,8289) = 2¹ × 3³ × 7¹ × 197¹ × 307¹
LCM(8274,8289) = 22861062