Least Common Multiple of 3394 and 3397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3394 and 3397 the smallest integer that is 11529418 that is divisible by both numbers.

Least Common Multiple (LCM) of 3394 and 3397 is 11529418.

LCM(3394,3397) = 11529418

LCM of 3394 and 3397

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

LCM of:
and

Least Common Multiple of 3394 and 3397

LCM of 3394 and 3397 is 11529418

Least common multiple can be found by multiplying the highest exponent prime factors of 3394 and 3397. First we will calculate the prime factors of 3394 and 3397.

Prime Factorization of 3394


2 3394
1697 1697
1

Prime factors of 3394 are 2,1697. Prime factorization of 3394 in exponential form is:

3394 = 21×16971

Prime Factorization of 3397


43 3397
79 79
1

Prime factors of 3397 are 43,79. Prime factorization of 3397 in exponential form is:

3397 = 431×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3394 and 3397.

LCM(3394,3397) = 21×431×791×16971
LCM(3394,3397) = 11529418

Factors of 3394

List of positive integer factors of 3394 that divides 3394 without a remainder.

1, 2, 1697, 3394

Factors of 3397

List of positive integer factors of 3397 that divides 3397 without a remainder.

1, 43, 79, 3397

Least Common Multiple of 3394 and 3397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3394 and 3397, than apply into the LCM equation.

GCF(3394,3397) = 1
LCM(3394,3397) = ( 3394 × 3397) / 1
LCM(3394,3397) = 11529418 / 1
LCM(3394,3397) = 11529418

Properties of LCM 3394 and 3397

(i) The LCM of 3397 and 3394 is associative

LCM of 3394 and 3397 = LCM of 3397 and 3394

Related Least Common Multiples of 3394

Related Least Common Multiples of 3397

Frequently Asked Questions on LCM of 3394 and 3397

1. What is the LCM of 3394 and 3397?

Answer: LCM of 3394 and 3397 is 11529418.

2. What are the Factors of 3394?

Answer: Factors of 3394 are 1, 2, 1697, 3394. There are 4 integers that are factors of 3394. The greatest factor of 3394 is 3394.

3. What are the Factors of 3397?

Answer: Factors of 3397 are 1, 43, 79, 3397. There are 4 integers that are factors of 3397. The greatest factor of 3397 is 3397.

4. How to Find the LCM of 3394 and 3397?

Answer:

Least Common Multiple of 3394 and 3397 = 11529418

Step 1: Find the prime factorization of 3394

3394 = 2 x 1697

Step 2: Find the prime factorization of 3397

3397 = 43 x 79

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

LCM = 11529418 = 2 x 43 x 79 x 1697

Step 4: Therefore, the least common multiple of 3394 and 3397 is 11529418.