Least Common Multiple of 8404 and 8412

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 8412 the smallest integer that is 17673612 that is divisible by both numbers.

Least Common Multiple (LCM) of 8404 and 8412 is 17673612.

LCM(8404,8412) = 17673612

LCM of 8404 and 8412

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

LCM of:
and

Least Common Multiple of 8404 and 8412

LCM of 8404 and 8412 is 17673612

Least common multiple can be found by multiplying the highest exponent prime factors of 8404 and 8412. First we will calculate the prime factors of 8404 and 8412.

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 8412


2 8412
2 4206
3 2103
701 701
1

Prime factors of 8412 are 2, 3,701. Prime factorization of 8412 in exponential form is:

8412 = 22×31×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 8404 and 8412.

LCM(8404,8412) = 22×31×111×1911×7011
LCM(8404,8412) = 17673612

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 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412

Least Common Multiple of 8404 and 8412 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 8412, than apply into the LCM equation.

GCF(8404,8412) = 4
LCM(8404,8412) = ( 8404 × 8412) / 4
LCM(8404,8412) = 70694448 / 4
LCM(8404,8412) = 17673612

Properties of LCM 8404 and 8412

(i) The LCM of 8412 and 8404 is associative

LCM of 8404 and 8412 = LCM of 8412 and 8404

Related Least Common Multiples of 8404

Related Least Common Multiples of 8412

Frequently Asked Questions on LCM of 8404 and 8412

1. What is the LCM of 8404 and 8412?

Answer: LCM of 8404 and 8412 is 17673612.

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 8412?

Answer: Factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412. There are 12 integers that are factors of 8412. The greatest factor of 8412 is 8412.

4. How to Find the LCM of 8404 and 8412?

Answer:

Least Common Multiple of 8404 and 8412 = 17673612

Step 1: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

Step 2: Find the prime factorization of 8412

8412 = 2 x 2 x 3 x 701

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

LCM = 17673612 = 2 x 2 x 3 x 11 x 191 x 701

Step 4: Therefore, the least common multiple of 8404 and 8412 is 17673612.