Least Common Multiple of 8404 and 8409

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 8409 the smallest integer that is 70669236 that is divisible by both numbers.

Least Common Multiple (LCM) of 8404 and 8409 is 70669236.

LCM(8404,8409) = 70669236

LCM of 8404 and 8409

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

LCM of:
and

Least Common Multiple of 8404 and 8409

LCM of 8404 and 8409 is 70669236

Least common multiple can be found by multiplying the highest exponent prime factors of 8404 and 8409. First we will calculate the prime factors of 8404 and 8409.

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 8409


3 8409
2803 2803
1

Prime factors of 8409 are 3,2803. Prime factorization of 8409 in exponential form is:

8409 = 31×28031

Now multiplying the highest exponent prime factors to calculate the LCM of 8404 and 8409.

LCM(8404,8409) = 22×31×111×1911×28031
LCM(8404,8409) = 70669236

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 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1, 3, 2803, 8409

Least Common Multiple of 8404 and 8409 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 8409, than apply into the LCM equation.

GCF(8404,8409) = 1
LCM(8404,8409) = ( 8404 × 8409) / 1
LCM(8404,8409) = 70669236 / 1
LCM(8404,8409) = 70669236

Properties of LCM 8404 and 8409

(i) The LCM of 8409 and 8404 is associative

LCM of 8404 and 8409 = LCM of 8409 and 8404

Related Least Common Multiples of 8404

Related Least Common Multiples of 8409

Frequently Asked Questions on LCM of 8404 and 8409

1. What is the LCM of 8404 and 8409?

Answer: LCM of 8404 and 8409 is 70669236.

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 8409?

Answer: Factors of 8409 are 1, 3, 2803, 8409. There are 4 integers that are factors of 8409. The greatest factor of 8409 is 8409.

4. How to Find the LCM of 8404 and 8409?

Answer:

Least Common Multiple of 8404 and 8409 = 70669236

Step 1: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

Step 2: Find the prime factorization of 8409

8409 = 3 x 2803

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

LCM = 70669236 = 2 x 2 x 3 x 11 x 191 x 2803

Step 4: Therefore, the least common multiple of 8404 and 8409 is 70669236.