Least Common Multiple of 3415 and 3416

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 3416 the smallest integer that is 11665640 that is divisible by both numbers.

Least Common Multiple (LCM) of 3415 and 3416 is 11665640.

LCM(3415,3416) = 11665640

LCM of 3415 and 3416

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

LCM of:
and

Least Common Multiple of 3415 and 3416

LCM of 3415 and 3416 is 11665640

Least common multiple can be found by multiplying the highest exponent prime factors of 3415 and 3416. First we will calculate the prime factors of 3415 and 3416.

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 3416


2 3416
2 1708
2 854
7 427
61 61
1

Prime factors of 3416 are 2, 7,61. Prime factorization of 3416 in exponential form is:

3416 = 23×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3415 and 3416.

LCM(3415,3416) = 23×51×71×611×6831
LCM(3415,3416) = 11665640

Factors of 3415

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

1, 5, 683, 3415

Factors of 3416

List of positive integer factors of 3416 that divides 3416 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416

Least Common Multiple of 3415 and 3416 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 3416, than apply into the LCM equation.

GCF(3415,3416) = 1
LCM(3415,3416) = ( 3415 × 3416) / 1
LCM(3415,3416) = 11665640 / 1
LCM(3415,3416) = 11665640

Properties of LCM 3415 and 3416

(i) The LCM of 3416 and 3415 is associative

LCM of 3415 and 3416 = LCM of 3416 and 3415

Related Least Common Multiples of 3415

Related Least Common Multiples of 3416

Frequently Asked Questions on LCM of 3415 and 3416

1. What is the LCM of 3415 and 3416?

Answer: LCM of 3415 and 3416 is 11665640.

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 3416?

Answer: Factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416. There are 16 integers that are factors of 3416. The greatest factor of 3416 is 3416.

4. How to Find the LCM of 3415 and 3416?

Answer:

Least Common Multiple of 3415 and 3416 = 11665640

Step 1: Find the prime factorization of 3415

3415 = 5 x 683

Step 2: Find the prime factorization of 3416

3416 = 2 x 2 x 2 x 7 x 61

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

LCM = 11665640 = 2 x 2 x 2 x 5 x 7 x 61 x 683

Step 4: Therefore, the least common multiple of 3415 and 3416 is 11665640.