What is the Least Common Multiple of 3340 and 3349?

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 3340 and 3349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3340 and 3349, than apply into the LCM equation.

GCF(3340,3349) = 1
LCM(3340,3349) = ( 3340 × 3349) / 1
LCM(3340,3349) = 11185660 / 1
LCM(3340,3349) = 11185660

Least Common Multiple (LCM) of 3340 and 3349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3340 and 3349. First we will calculate the prime factors of 3340 and 3349.

Prime Factorization of 3340

Prime Factorization of 3349

Now multiplying the highest exponent prime factors to calculate the LCM of 3340 and 3349.

LCM(3340,3349) = 2² × 5¹ × 167¹ × 17¹ × 197¹
LCM(3340,3349) = 11185660