Least Common Multiple of 3414 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 3414 and 3421 the smallest integer that is 11679294 that is divisible by both numbers.

Least Common Multiple (LCM) of 3414 and 3421 is 11679294.

LCM(3414,3421) = 11679294

LCM of 3414 and 3421

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

LCM of:
and

Least Common Multiple of 3414 and 3421

LCM of 3414 and 3421 is 11679294

Least common multiple can be found by multiplying the highest exponent prime factors of 3414 and 3421. First we will calculate the prime factors of 3414 and 3421.

Prime Factorization of 3414


2 3414
3 1707
569 569
1

Prime factors of 3414 are 2, 3,569. Prime factorization of 3414 in exponential form is:

3414 = 21×31×5691

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 3414 and 3421.

LCM(3414,3421) = 21×31×111×3111×5691
LCM(3414,3421) = 11679294

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1, 2, 3, 6, 569, 1138, 1707, 3414

Factors of 3421

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

1, 11, 311, 3421

Least Common Multiple of 3414 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 3414 and 3421, than apply into the LCM equation.

GCF(3414,3421) = 1
LCM(3414,3421) = ( 3414 × 3421) / 1
LCM(3414,3421) = 11679294 / 1
LCM(3414,3421) = 11679294

Properties of LCM 3414 and 3421

(i) The LCM of 3421 and 3414 is associative

LCM of 3414 and 3421 = LCM of 3421 and 3414

Related Least Common Multiples of 3414

Related Least Common Multiples of 3421

Frequently Asked Questions on LCM of 3414 and 3421

1. What is the LCM of 3414 and 3421?

Answer: LCM of 3414 and 3421 is 11679294.

2. What are the Factors of 3414?

Answer: Factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414. There are 8 integers that are factors of 3414. The greatest factor of 3414 is 3414.

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 3414 and 3421?

Answer:

Least Common Multiple of 3414 and 3421 = 11679294

Step 1: Find the prime factorization of 3414

3414 = 2 x 3 x 569

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 = 11679294 = 2 x 3 x 11 x 311 x 569

Step 4: Therefore, the least common multiple of 3414 and 3421 is 11679294.