Least Common Multiple of 3347 and 3354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3347 and 3354 the smallest integer that is 11225838 that is divisible by both numbers.

Least Common Multiple (LCM) of 3347 and 3354 is 11225838.

LCM(3347,3354) = 11225838

LCM of 3347 and 3354

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3347 and 3354

LCM of 3347 and 3354 is 11225838

Least common multiple can be found by multiplying the highest exponent prime factors of 3347 and 3354. First we will calculate the prime factors of 3347 and 3354.

Prime Factorization of 3347


3347 3347
1

Prime factors of 3347 are 3347. Prime factorization of 3347 in exponential form is:

3347 = 33471

Prime Factorization of 3354


2 3354
3 1677
13 559
43 43
1

Prime factors of 3354 are 2, 3, 13,43. Prime factorization of 3354 in exponential form is:

3354 = 21×31×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3347 and 3354.

LCM(3347,3354) = 21×31×131×431×33471
LCM(3347,3354) = 11225838

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1, 3347

Factors of 3354

List of positive integer factors of 3354 that divides 3354 without a remainder.

1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354

Least Common Multiple of 3347 and 3354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3347 and 3354, than apply into the LCM equation.

GCF(3347,3354) = 1
LCM(3347,3354) = ( 3347 × 3354) / 1
LCM(3347,3354) = 11225838 / 1
LCM(3347,3354) = 11225838

Properties of LCM 3347 and 3354

(i) The LCM of 3354 and 3347 is associative

LCM of 3347 and 3354 = LCM of 3354 and 3347

Related Least Common Multiples of 3347

Related Least Common Multiples of 3354

Frequently Asked Questions on LCM of 3347 and 3354

1. What is the LCM of 3347 and 3354?

Answer: LCM of 3347 and 3354 is 11225838.

2. What are the Factors of 3347?

Answer: Factors of 3347 are 1, 3347. There are 2 integers that are factors of 3347. The greatest factor of 3347 is 3347.

3. What are the Factors of 3354?

Answer: Factors of 3354 are 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354. There are 16 integers that are factors of 3354. The greatest factor of 3354 is 3354.

4. How to Find the LCM of 3347 and 3354?

Answer:

Least Common Multiple of 3347 and 3354 = 11225838

Step 1: Find the prime factorization of 3347

3347 = 3347

Step 2: Find the prime factorization of 3354

3354 = 2 x 3 x 13 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11225838 = 2 x 3 x 13 x 43 x 3347

Step 4: Therefore, the least common multiple of 3347 and 3354 is 11225838.