What is the Least Common Multiple of 8275 and 8291?

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 8275 and 8291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8275 and 8291, than apply into the LCM equation.

GCF(8275,8291) = 1
LCM(8275,8291) = ( 8275 × 8291) / 1
LCM(8275,8291) = 68608025 / 1
LCM(8275,8291) = 68608025

Least Common Multiple (LCM) of 8275 and 8291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8275 and 8291. First we will calculate the prime factors of 8275 and 8291.

Prime Factorization of 8275

Prime Factorization of 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 8275 and 8291.

LCM(8275,8291) = 5² × 331¹ × 8291¹
LCM(8275,8291) = 68608025