Least Common Multiple of 8404 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 8404 and 8410 the smallest integer that is 35338820 that is divisible by both numbers.

Least Common Multiple (LCM) of 8404 and 8410 is 35338820.

LCM(8404,8410) = 35338820

LCM of 8404 and 8410

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

LCM of:
and

Least Common Multiple of 8404 and 8410

LCM of 8404 and 8410 is 35338820

Least common multiple can be found by multiplying the highest exponent prime factors of 8404 and 8410. First we will calculate the prime factors of 8404 and 8410.

Prime Factorization of 8404


2 8404
2 4202
11 2101
191 191
1

Prime factors of 8404 are 2, 11,191. Prime factorization of 8404 in exponential form is:

8404 = 22×111×1911

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 8404 and 8410.

LCM(8404,8410) = 22×51×111×292×1911
LCM(8404,8410) = 35338820

Factors of 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404

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 8404 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 8404 and 8410, than apply into the LCM equation.

GCF(8404,8410) = 2
LCM(8404,8410) = ( 8404 × 8410) / 2
LCM(8404,8410) = 70677640 / 2
LCM(8404,8410) = 35338820

Properties of LCM 8404 and 8410

(i) The LCM of 8410 and 8404 is associative

LCM of 8404 and 8410 = LCM of 8410 and 8404

Related Least Common Multiples of 8404

Related Least Common Multiples of 8410

Frequently Asked Questions on LCM of 8404 and 8410

1. What is the LCM of 8404 and 8410?

Answer: LCM of 8404 and 8410 is 35338820.

2. What are the Factors of 8404?

Answer: Factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404. There are 12 integers that are factors of 8404. The greatest factor of 8404 is 8404.

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 8404 and 8410?

Answer:

Least Common Multiple of 8404 and 8410 = 35338820

Step 1: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

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 = 35338820 = 2 x 2 x 5 x 11 x 29 x 29 x 191

Step 4: Therefore, the least common multiple of 8404 and 8410 is 35338820.