Least Common Multiple of 3415 and 3421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3415 and 3421 the smallest integer that is 11682715 that is divisible by both numbers.

Least Common Multiple (LCM) of 3415 and 3421 is 11682715.

LCM(3415,3421) = 11682715

LCM of 3415 and 3421

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

LCM of:
and

Least Common Multiple of 3415 and 3421

LCM of 3415 and 3421 is 11682715

Least common multiple can be found by multiplying the highest exponent prime factors of 3415 and 3421. First we will calculate the prime factors of 3415 and 3421.

Prime Factorization of 3415


5 3415
683 683
1

Prime factors of 3415 are 5,683. Prime factorization of 3415 in exponential form is:

3415 = 51×6831

Prime Factorization of 3421


11 3421
311 311
1

Prime factors of 3421 are 11,311. Prime factorization of 3421 in exponential form is:

3421 = 111×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 3415 and 3421.

LCM(3415,3421) = 51×111×3111×6831
LCM(3415,3421) = 11682715

Factors of 3415

List of positive integer factors of 3415 that divides 3415 without a remainder.

1, 5, 683, 3415

Factors of 3421

List of positive integer factors of 3421 that divides 3421 without a remainder.

1, 11, 311, 3421

Least Common Multiple of 3415 and 3421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3415 and 3421, than apply into the LCM equation.

GCF(3415,3421) = 1
LCM(3415,3421) = ( 3415 × 3421) / 1
LCM(3415,3421) = 11682715 / 1
LCM(3415,3421) = 11682715

Properties of LCM 3415 and 3421

(i) The LCM of 3421 and 3415 is associative

LCM of 3415 and 3421 = LCM of 3421 and 3415

Related Least Common Multiples of 3415

Related Least Common Multiples of 3421

Frequently Asked Questions on LCM of 3415 and 3421

1. What is the LCM of 3415 and 3421?

Answer: LCM of 3415 and 3421 is 11682715.

2. What are the Factors of 3415?

Answer: Factors of 3415 are 1, 5, 683, 3415. There are 4 integers that are factors of 3415. The greatest factor of 3415 is 3415.

3. What are the Factors of 3421?

Answer: Factors of 3421 are 1, 11, 311, 3421. There are 4 integers that are factors of 3421. The greatest factor of 3421 is 3421.

4. How to Find the LCM of 3415 and 3421?

Answer:

Least Common Multiple of 3415 and 3421 = 11682715

Step 1: Find the prime factorization of 3415

3415 = 5 x 683

Step 2: Find the prime factorization of 3421

3421 = 11 x 311

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

LCM = 11682715 = 5 x 11 x 311 x 683

Step 4: Therefore, the least common multiple of 3415 and 3421 is 11682715.