Least Common Multiple of 8404 and 8411

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 8411 the smallest integer that is 70686044 that is divisible by both numbers.

Least Common Multiple (LCM) of 8404 and 8411 is 70686044.

LCM(8404,8411) = 70686044

LCM of 8404 and 8411

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

LCM of:
and

Least Common Multiple of 8404 and 8411

LCM of 8404 and 8411 is 70686044

Least common multiple can be found by multiplying the highest exponent prime factors of 8404 and 8411. First we will calculate the prime factors of 8404 and 8411.

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 8411


13 8411
647 647
1

Prime factors of 8411 are 13,647. Prime factorization of 8411 in exponential form is:

8411 = 131×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 8404 and 8411.

LCM(8404,8411) = 22×111×131×1911×6471
LCM(8404,8411) = 70686044

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 8411

List of positive integer factors of 8411 that divides 8411 without a remainder.

1, 13, 647, 8411

Least Common Multiple of 8404 and 8411 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 8411, than apply into the LCM equation.

GCF(8404,8411) = 1
LCM(8404,8411) = ( 8404 × 8411) / 1
LCM(8404,8411) = 70686044 / 1
LCM(8404,8411) = 70686044

Properties of LCM 8404 and 8411

(i) The LCM of 8411 and 8404 is associative

LCM of 8404 and 8411 = LCM of 8411 and 8404

Related Least Common Multiples of 8404

Related Least Common Multiples of 8411

Frequently Asked Questions on LCM of 8404 and 8411

1. What is the LCM of 8404 and 8411?

Answer: LCM of 8404 and 8411 is 70686044.

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 8411?

Answer: Factors of 8411 are 1, 13, 647, 8411. There are 4 integers that are factors of 8411. The greatest factor of 8411 is 8411.

4. How to Find the LCM of 8404 and 8411?

Answer:

Least Common Multiple of 8404 and 8411 = 70686044

Step 1: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

Step 2: Find the prime factorization of 8411

8411 = 13 x 647

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

LCM = 70686044 = 2 x 2 x 11 x 13 x 191 x 647

Step 4: Therefore, the least common multiple of 8404 and 8411 is 70686044.