What is the Least Common Multiple of 3297 and 3301?

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 3297 and 3301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3297 and 3301, than apply into the LCM equation.

GCF(3297,3301) = 1
LCM(3297,3301) = ( 3297 × 3301) / 1
LCM(3297,3301) = 10883397 / 1
LCM(3297,3301) = 10883397

Least Common Multiple (LCM) of 3297 and 3301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3297 and 3301. First we will calculate the prime factors of 3297 and 3301.

Prime Factorization of 3297

Prime Factorization of 3301

Now multiplying the highest exponent prime factors to calculate the LCM of 3297 and 3301.

LCM(3297,3301) = 3¹ × 7¹ × 157¹ × 3301¹
LCM(3297,3301) = 10883397