Least Common Multiple of 3418 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 3418 and 3421 the smallest integer that is 11692978 that is divisible by both numbers.

Least Common Multiple (LCM) of 3418 and 3421 is 11692978.

LCM(3418,3421) = 11692978

LCM of 3418 and 3421

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

LCM of:
and

Least Common Multiple of 3418 and 3421

LCM of 3418 and 3421 is 11692978

Least common multiple can be found by multiplying the highest exponent prime factors of 3418 and 3421. First we will calculate the prime factors of 3418 and 3421.

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

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 3418 and 3421.

LCM(3418,3421) = 21×111×3111×17091
LCM(3418,3421) = 11692978

Factors of 3418

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

1, 2, 1709, 3418

Factors of 3421

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

1, 11, 311, 3421

Least Common Multiple of 3418 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 3418 and 3421, than apply into the LCM equation.

GCF(3418,3421) = 1
LCM(3418,3421) = ( 3418 × 3421) / 1
LCM(3418,3421) = 11692978 / 1
LCM(3418,3421) = 11692978

Properties of LCM 3418 and 3421

(i) The LCM of 3421 and 3418 is associative

LCM of 3418 and 3421 = LCM of 3421 and 3418

Related Least Common Multiples of 3418

Related Least Common Multiples of 3421

Frequently Asked Questions on LCM of 3418 and 3421

1. What is the LCM of 3418 and 3421?

Answer: LCM of 3418 and 3421 is 11692978.

2. 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.

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 3418 and 3421?

Answer:

Least Common Multiple of 3418 and 3421 = 11692978

Step 1: Find the prime factorization of 3418

3418 = 2 x 1709

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 = 11692978 = 2 x 11 x 311 x 1709

Step 4: Therefore, the least common multiple of 3418 and 3421 is 11692978.