What is the Least Common Multiple of 3290 and 3297?

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 3290 and 3297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3290 and 3297, than apply into the LCM equation.

GCF(3290,3297) = 7
LCM(3290,3297) = ( 3290 × 3297) / 7
LCM(3290,3297) = 10847130 / 7
LCM(3290,3297) = 1549590

Least Common Multiple (LCM) of 3290 and 3297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3290 and 3297. First we will calculate the prime factors of 3290 and 3297.

Prime Factorization of 3290

Prime Factorization of 3297

Now multiplying the highest exponent prime factors to calculate the LCM of 3290 and 3297.

LCM(3290,3297) = 2¹ × 5¹ × 7¹ × 47¹ × 3¹ × 157¹
LCM(3290,3297) = 1549590