Least Common Multiple of 3389 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 3389 and 3397 the smallest integer that is 11512433 that is divisible by both numbers.

Least Common Multiple (LCM) of 3389 and 3397 is 11512433.

LCM(3389,3397) = 11512433

LCM of 3389 and 3397

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

LCM of:
and

Least Common Multiple of 3389 and 3397

LCM of 3389 and 3397 is 11512433

Least common multiple can be found by multiplying the highest exponent prime factors of 3389 and 3397. First we will calculate the prime factors of 3389 and 3397.

Prime Factorization of 3389


3389 3389
1

Prime factors of 3389 are 3389. Prime factorization of 3389 in exponential form is:

3389 = 33891

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 3389 and 3397.

LCM(3389,3397) = 431×791×33891
LCM(3389,3397) = 11512433

Factors of 3389

List of positive integer factors of 3389 that divides 3389 without a remainder.

1, 3389

Factors of 3397

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

1, 43, 79, 3397

Least Common Multiple of 3389 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 3389 and 3397, than apply into the LCM equation.

GCF(3389,3397) = 1
LCM(3389,3397) = ( 3389 × 3397) / 1
LCM(3389,3397) = 11512433 / 1
LCM(3389,3397) = 11512433

Properties of LCM 3389 and 3397

(i) The LCM of 3397 and 3389 is associative

LCM of 3389 and 3397 = LCM of 3397 and 3389

Related Least Common Multiples of 3389

Related Least Common Multiples of 3397

Frequently Asked Questions on LCM of 3389 and 3397

1. What is the LCM of 3389 and 3397?

Answer: LCM of 3389 and 3397 is 11512433.

2. What are the Factors of 3389?

Answer: Factors of 3389 are 1, 3389. There are 2 integers that are factors of 3389. The greatest factor of 3389 is 3389.

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 3389 and 3397?

Answer:

Least Common Multiple of 3389 and 3397 = 11512433

Step 1: Find the prime factorization of 3389

3389 = 3389

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 = 11512433 = 43 x 79 x 3389

Step 4: Therefore, the least common multiple of 3389 and 3397 is 11512433.