Least Common Multiple of 8406 and 8410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8406 and 8410 the smallest integer that is 35347230 that is divisible by both numbers.

Least Common Multiple (LCM) of 8406 and 8410 is 35347230.

LCM(8406,8410) = 35347230

LCM of 8406 and 8410

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

LCM of:
and

Least Common Multiple of 8406 and 8410

LCM of 8406 and 8410 is 35347230

Least common multiple can be found by multiplying the highest exponent prime factors of 8406 and 8410. First we will calculate the prime factors of 8406 and 8410.

Prime Factorization of 8406


2 8406
3 4203
3 1401
467 467
1

Prime factors of 8406 are 2, 3,467. Prime factorization of 8406 in exponential form is:

8406 = 21×32×4671

Prime Factorization of 8410


2 8410
5 4205
29 841
29 29
1

Prime factors of 8410 are 2, 5,29. Prime factorization of 8410 in exponential form is:

8410 = 21×51×292

Now multiplying the highest exponent prime factors to calculate the LCM of 8406 and 8410.

LCM(8406,8410) = 21×32×51×292×4671
LCM(8406,8410) = 35347230

Factors of 8406

List of positive integer factors of 8406 that divides 8406 without a remainder.

1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406

Factors of 8410

List of positive integer factors of 8410 that divides 8410 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410

Least Common Multiple of 8406 and 8410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8406 and 8410, than apply into the LCM equation.

GCF(8406,8410) = 2
LCM(8406,8410) = ( 8406 × 8410) / 2
LCM(8406,8410) = 70694460 / 2
LCM(8406,8410) = 35347230

Properties of LCM 8406 and 8410

(i) The LCM of 8410 and 8406 is associative

LCM of 8406 and 8410 = LCM of 8410 and 8406

Related Least Common Multiples of 8406

Related Least Common Multiples of 8410

Frequently Asked Questions on LCM of 8406 and 8410

1. What is the LCM of 8406 and 8410?

Answer: LCM of 8406 and 8410 is 35347230.

2. What are the Factors of 8406?

Answer: Factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406. There are 12 integers that are factors of 8406. The greatest factor of 8406 is 8406.

3. What are the Factors of 8410?

Answer: Factors of 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410. There are 12 integers that are factors of 8410. The greatest factor of 8410 is 8410.

4. How to Find the LCM of 8406 and 8410?

Answer:

Least Common Multiple of 8406 and 8410 = 35347230

Step 1: Find the prime factorization of 8406

8406 = 2 x 3 x 3 x 467

Step 2: Find the prime factorization of 8410

8410 = 2 x 5 x 29 x 29

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

LCM = 35347230 = 2 x 3 x 3 x 5 x 29 x 29 x 467

Step 4: Therefore, the least common multiple of 8406 and 8410 is 35347230.