Least Common Multiple of 3407 and 3414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3407 and 3414 the smallest integer that is 11631498 that is divisible by both numbers.

Least Common Multiple (LCM) of 3407 and 3414 is 11631498.

LCM(3407,3414) = 11631498

LCM of 3407 and 3414

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

LCM of:
and

Least Common Multiple of 3407 and 3414

LCM of 3407 and 3414 is 11631498

Least common multiple can be found by multiplying the highest exponent prime factors of 3407 and 3414. First we will calculate the prime factors of 3407 and 3414.

Prime Factorization of 3407


3407 3407
1

Prime factors of 3407 are 3407. Prime factorization of 3407 in exponential form is:

3407 = 34071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3407 and 3414.

LCM(3407,3414) = 21×31×5691×34071
LCM(3407,3414) = 11631498

Factors of 3407

List of positive integer factors of 3407 that divides 3407 without a remainder.

1, 3407

Factors of 3414

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

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

Least Common Multiple of 3407 and 3414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3407 and 3414, than apply into the LCM equation.

GCF(3407,3414) = 1
LCM(3407,3414) = ( 3407 × 3414) / 1
LCM(3407,3414) = 11631498 / 1
LCM(3407,3414) = 11631498

Properties of LCM 3407 and 3414

(i) The LCM of 3414 and 3407 is associative

LCM of 3407 and 3414 = LCM of 3414 and 3407

Related Least Common Multiples of 3407

Related Least Common Multiples of 3414

Frequently Asked Questions on LCM of 3407 and 3414

1. What is the LCM of 3407 and 3414?

Answer: LCM of 3407 and 3414 is 11631498.

2. What are the Factors of 3407?

Answer: Factors of 3407 are 1, 3407. There are 2 integers that are factors of 3407. The greatest factor of 3407 is 3407.

3. 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.

4. How to Find the LCM of 3407 and 3414?

Answer:

Least Common Multiple of 3407 and 3414 = 11631498

Step 1: Find the prime factorization of 3407

3407 = 3407

Step 2: Find the prime factorization of 3414

3414 = 2 x 3 x 569

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

LCM = 11631498 = 2 x 3 x 569 x 3407

Step 4: Therefore, the least common multiple of 3407 and 3414 is 11631498.