What is the Least Common Multiple of 3349 and 3357?

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 3349 and 3357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3349 and 3357, than apply into the LCM equation.

GCF(3349,3357) = 1
LCM(3349,3357) = ( 3349 × 3357) / 1
LCM(3349,3357) = 11242593 / 1
LCM(3349,3357) = 11242593

Least Common Multiple (LCM) of 3349 and 3357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3349 and 3357. First we will calculate the prime factors of 3349 and 3357.

Prime Factorization of 3349

Prime Factorization of 3357

Now multiplying the highest exponent prime factors to calculate the LCM of 3349 and 3357.

LCM(3349,3357) = 17¹ × 197¹ × 3² × 373¹
LCM(3349,3357) = 11242593