Least Common Multiple of 3402 and 3410

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 3410 the smallest integer that is 5800410 that is divisible by both numbers.

Least Common Multiple (LCM) of 3402 and 3410 is 5800410.

LCM(3402,3410) = 5800410

LCM of 3402 and 3410

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

LCM of:
and

Least Common Multiple of 3402 and 3410

LCM of 3402 and 3410 is 5800410

Least common multiple can be found by multiplying the highest exponent prime factors of 3402 and 3410. First we will calculate the prime factors of 3402 and 3410.

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 3410


2 3410
5 1705
11 341
31 31
1

Prime factors of 3410 are 2, 5, 11,31. Prime factorization of 3410 in exponential form is:

3410 = 21×51×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3402 and 3410.

LCM(3402,3410) = 21×35×51×71×111×311
LCM(3402,3410) = 5800410

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 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410

Least Common Multiple of 3402 and 3410 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 3410, than apply into the LCM equation.

GCF(3402,3410) = 2
LCM(3402,3410) = ( 3402 × 3410) / 2
LCM(3402,3410) = 11600820 / 2
LCM(3402,3410) = 5800410

Properties of LCM 3402 and 3410

(i) The LCM of 3410 and 3402 is associative

LCM of 3402 and 3410 = LCM of 3410 and 3402

Related Least Common Multiples of 3402

Related Least Common Multiples of 3410

Frequently Asked Questions on LCM of 3402 and 3410

1. What is the LCM of 3402 and 3410?

Answer: LCM of 3402 and 3410 is 5800410.

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 3410?

Answer: Factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410. There are 16 integers that are factors of 3410. The greatest factor of 3410 is 3410.

4. How to Find the LCM of 3402 and 3410?

Answer:

Least Common Multiple of 3402 and 3410 = 5800410

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 3410

3410 = 2 x 5 x 11 x 31

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

LCM = 5800410 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 3402 and 3410 is 5800410.