Least Common Multiple of 3410 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 3410 and 3414 the smallest integer that is 5820870 that is divisible by both numbers.

Least Common Multiple (LCM) of 3410 and 3414 is 5820870.

LCM(3410,3414) = 5820870

LCM of 3410 and 3414

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

LCM of:
and

Least Common Multiple of 3410 and 3414

LCM of 3410 and 3414 is 5820870

Least common multiple can be found by multiplying the highest exponent prime factors of 3410 and 3414. First we will calculate the prime factors of 3410 and 3414.

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

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 3410 and 3414.

LCM(3410,3414) = 21×31×51×111×311×5691
LCM(3410,3414) = 5820870

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

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 3410 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 3410 and 3414, than apply into the LCM equation.

GCF(3410,3414) = 2
LCM(3410,3414) = ( 3410 × 3414) / 2
LCM(3410,3414) = 11641740 / 2
LCM(3410,3414) = 5820870

Properties of LCM 3410 and 3414

(i) The LCM of 3414 and 3410 is associative

LCM of 3410 and 3414 = LCM of 3414 and 3410

Related Least Common Multiples of 3410

Related Least Common Multiples of 3414

Frequently Asked Questions on LCM of 3410 and 3414

1. What is the LCM of 3410 and 3414?

Answer: LCM of 3410 and 3414 is 5820870.

2. 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.

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 3410 and 3414?

Answer:

Least Common Multiple of 3410 and 3414 = 5820870

Step 1: Find the prime factorization of 3410

3410 = 2 x 5 x 11 x 31

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 = 5820870 = 2 x 3 x 5 x 11 x 31 x 569

Step 4: Therefore, the least common multiple of 3410 and 3414 is 5820870.