Least Common Multiple of 3417 and 3418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3417 and 3418 the smallest integer that is 11679306 that is divisible by both numbers.

Least Common Multiple (LCM) of 3417 and 3418 is 11679306.

LCM(3417,3418) = 11679306

LCM of 3417 and 3418

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

LCM of:
and

Least Common Multiple of 3417 and 3418

LCM of 3417 and 3418 is 11679306

Least common multiple can be found by multiplying the highest exponent prime factors of 3417 and 3418. First we will calculate the prime factors of 3417 and 3418.

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

Prime Factorization of 3418


2 3418
1709 1709
1

Prime factors of 3418 are 2,1709. Prime factorization of 3418 in exponential form is:

3418 = 21×17091

Now multiplying the highest exponent prime factors to calculate the LCM of 3417 and 3418.

LCM(3417,3418) = 21×31×171×671×17091
LCM(3417,3418) = 11679306

Factors of 3417

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

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

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1, 2, 1709, 3418

Least Common Multiple of 3417 and 3418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3417 and 3418, than apply into the LCM equation.

GCF(3417,3418) = 1
LCM(3417,3418) = ( 3417 × 3418) / 1
LCM(3417,3418) = 11679306 / 1
LCM(3417,3418) = 11679306

Properties of LCM 3417 and 3418

(i) The LCM of 3418 and 3417 is associative

LCM of 3417 and 3418 = LCM of 3418 and 3417

Related Least Common Multiples of 3417

Related Least Common Multiples of 3418

Frequently Asked Questions on LCM of 3417 and 3418

1. What is the LCM of 3417 and 3418?

Answer: LCM of 3417 and 3418 is 11679306.

2. 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.

3. What are the Factors of 3418?

Answer: Factors of 3418 are 1, 2, 1709, 3418. There are 4 integers that are factors of 3418. The greatest factor of 3418 is 3418.

4. How to Find the LCM of 3417 and 3418?

Answer:

Least Common Multiple of 3417 and 3418 = 11679306

Step 1: Find the prime factorization of 3417

3417 = 3 x 17 x 67

Step 2: Find the prime factorization of 3418

3418 = 2 x 1709

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

LCM = 11679306 = 2 x 3 x 17 x 67 x 1709

Step 4: Therefore, the least common multiple of 3417 and 3418 is 11679306.