Least Common Multiple of 8404 and 8408

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 8408 the smallest integer that is 17665208 that is divisible by both numbers.

Least Common Multiple (LCM) of 8404 and 8408 is 17665208.

LCM(8404,8408) = 17665208

LCM of 8404 and 8408

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

LCM of:
and

Least Common Multiple of 8404 and 8408

LCM of 8404 and 8408 is 17665208

Least common multiple can be found by multiplying the highest exponent prime factors of 8404 and 8408. First we will calculate the prime factors of 8404 and 8408.

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 8408


2 8408
2 4204
2 2102
1051 1051
1

Prime factors of 8408 are 2,1051. Prime factorization of 8408 in exponential form is:

8408 = 23×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 8404 and 8408.

LCM(8404,8408) = 23×111×1911×10511
LCM(8404,8408) = 17665208

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 8408

List of positive integer factors of 8408 that divides 8408 without a remainder.

1, 2, 4, 8, 1051, 2102, 4204, 8408

Least Common Multiple of 8404 and 8408 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 8408, than apply into the LCM equation.

GCF(8404,8408) = 4
LCM(8404,8408) = ( 8404 × 8408) / 4
LCM(8404,8408) = 70660832 / 4
LCM(8404,8408) = 17665208

Properties of LCM 8404 and 8408

(i) The LCM of 8408 and 8404 is associative

LCM of 8404 and 8408 = LCM of 8408 and 8404

Related Least Common Multiples of 8404

Related Least Common Multiples of 8408

Frequently Asked Questions on LCM of 8404 and 8408

1. What is the LCM of 8404 and 8408?

Answer: LCM of 8404 and 8408 is 17665208.

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 8408?

Answer: Factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408. There are 8 integers that are factors of 8408. The greatest factor of 8408 is 8408.

4. How to Find the LCM of 8404 and 8408?

Answer:

Least Common Multiple of 8404 and 8408 = 17665208

Step 1: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

Step 2: Find the prime factorization of 8408

8408 = 2 x 2 x 2 x 1051

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

LCM = 17665208 = 2 x 2 x 2 x 11 x 191 x 1051

Step 4: Therefore, the least common multiple of 8404 and 8408 is 17665208.