Least Common Multiple of 3402 and 3405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3402 and 3405 the smallest integer that is 3861270 that is divisible by both numbers.

Least Common Multiple (LCM) of 3402 and 3405 is 3861270.

LCM(3402,3405) = 3861270

LCM of 3402 and 3405

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

LCM of:
and

Least Common Multiple of 3402 and 3405

LCM of 3402 and 3405 is 3861270

Least common multiple can be found by multiplying the highest exponent prime factors of 3402 and 3405. First we will calculate the prime factors of 3402 and 3405.

Prime Factorization of 3402


2 3402
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 3402 are 2, 3,7. Prime factorization of 3402 in exponential form is:

3402 = 21×35×71

Prime Factorization of 3405


3 3405
5 1135
227 227
1

Prime factors of 3405 are 3, 5,227. Prime factorization of 3405 in exponential form is:

3405 = 31×51×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 3402 and 3405.

LCM(3402,3405) = 21×35×51×71×2271
LCM(3402,3405) = 3861270

Factors of 3402

List of positive integer factors of 3402 that divides 3402 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402

Factors of 3405

List of positive integer factors of 3405 that divides 3405 without a remainder.

1, 3, 5, 15, 227, 681, 1135, 3405

Least Common Multiple of 3402 and 3405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3402 and 3405, than apply into the LCM equation.

GCF(3402,3405) = 3
LCM(3402,3405) = ( 3402 × 3405) / 3
LCM(3402,3405) = 11583810 / 3
LCM(3402,3405) = 3861270

Properties of LCM 3402 and 3405

(i) The LCM of 3405 and 3402 is associative

LCM of 3402 and 3405 = LCM of 3405 and 3402

Related Least Common Multiples of 3402

Related Least Common Multiples of 3405

Frequently Asked Questions on LCM of 3402 and 3405

1. What is the LCM of 3402 and 3405?

Answer: LCM of 3402 and 3405 is 3861270.

2. What are the Factors of 3402?

Answer: Factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402. There are 24 integers that are factors of 3402. The greatest factor of 3402 is 3402.

3. What are the Factors of 3405?

Answer: Factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405. There are 8 integers that are factors of 3405. The greatest factor of 3405 is 3405.

4. How to Find the LCM of 3402 and 3405?

Answer:

Least Common Multiple of 3402 and 3405 = 3861270

Step 1: Find the prime factorization of 3402

3402 = 2 x 3 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 3405

3405 = 3 x 5 x 227

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

LCM = 3861270 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 227

Step 4: Therefore, the least common multiple of 3402 and 3405 is 3861270.