What is the Least Common Multiple of 3275 and 3291?

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 3275 and 3291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3275 and 3291, than apply into the LCM equation.

GCF(3275,3291) = 1
LCM(3275,3291) = ( 3275 × 3291) / 1
LCM(3275,3291) = 10778025 / 1
LCM(3275,3291) = 10778025

Least Common Multiple (LCM) of 3275 and 3291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3275 and 3291. First we will calculate the prime factors of 3275 and 3291.

Prime Factorization of 3275

Prime Factorization of 3291

Now multiplying the highest exponent prime factors to calculate the LCM of 3275 and 3291.

LCM(3275,3291) = 5² × 131¹ × 3¹ × 1097¹
LCM(3275,3291) = 10778025