Least Common Multiple of 3412 and 3417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3412 and 3417 the smallest integer that is 11658804 that is divisible by both numbers.

Least Common Multiple (LCM) of 3412 and 3417 is 11658804.

LCM(3412,3417) = 11658804

LCM of 3412 and 3417

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

LCM of:
and

Least Common Multiple of 3412 and 3417

LCM of 3412 and 3417 is 11658804

Least common multiple can be found by multiplying the highest exponent prime factors of 3412 and 3417. First we will calculate the prime factors of 3412 and 3417.

Prime Factorization of 3412


2 3412
2 1706
853 853
1

Prime factors of 3412 are 2,853. Prime factorization of 3412 in exponential form is:

3412 = 22×8531

Prime Factorization of 3417


3 3417
17 1139
67 67
1

Prime factors of 3417 are 3, 17,67. Prime factorization of 3417 in exponential form is:

3417 = 31×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3412 and 3417.

LCM(3412,3417) = 22×31×171×671×8531
LCM(3412,3417) = 11658804

Factors of 3412

List of positive integer factors of 3412 that divides 3412 without a remainder.

1, 2, 4, 853, 1706, 3412

Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1, 3, 17, 51, 67, 201, 1139, 3417

Least Common Multiple of 3412 and 3417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3412 and 3417, than apply into the LCM equation.

GCF(3412,3417) = 1
LCM(3412,3417) = ( 3412 × 3417) / 1
LCM(3412,3417) = 11658804 / 1
LCM(3412,3417) = 11658804

Properties of LCM 3412 and 3417

(i) The LCM of 3417 and 3412 is associative

LCM of 3412 and 3417 = LCM of 3417 and 3412

Related Least Common Multiples of 3412

Related Least Common Multiples of 3417

Frequently Asked Questions on LCM of 3412 and 3417

1. What is the LCM of 3412 and 3417?

Answer: LCM of 3412 and 3417 is 11658804.

2. What are the Factors of 3412?

Answer: Factors of 3412 are 1, 2, 4, 853, 1706, 3412. There are 6 integers that are factors of 3412. The greatest factor of 3412 is 3412.

3. What are the Factors of 3417?

Answer: Factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417. There are 8 integers that are factors of 3417. The greatest factor of 3417 is 3417.

4. How to Find the LCM of 3412 and 3417?

Answer:

Least Common Multiple of 3412 and 3417 = 11658804

Step 1: Find the prime factorization of 3412

3412 = 2 x 2 x 853

Step 2: Find the prime factorization of 3417

3417 = 3 x 17 x 67

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

LCM = 11658804 = 2 x 2 x 3 x 17 x 67 x 853

Step 4: Therefore, the least common multiple of 3412 and 3417 is 11658804.