Least Common Multiple of 404 and 406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 404 and 406 the smallest integer that is 82012 that is divisible by both numbers.

Least Common Multiple (LCM) of 404 and 406 is 82012.

LCM(404,406) = 82012

LCM of 404 and 406

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

LCM of:
and

Least Common Multiple of 404 and 406

LCM of 404 and 406 is 82012

Least common multiple can be found by multiplying the highest exponent prime factors of 404 and 406. First we will calculate the prime factors of 404 and 406.

Prime Factorization of 404


2 404
2 202
101 101
1

Prime factors of 404 are 2,101. Prime factorization of 404 in exponential form is:

404 = 22×1011

Prime Factorization of 406


2 406
7 203
29 29
1

Prime factors of 406 are 2, 7,29. Prime factorization of 406 in exponential form is:

406 = 21×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 404 and 406.

LCM(404,406) = 22×71×291×1011
LCM(404,406) = 82012

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Least Common Multiple of 404 and 406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 404 and 406, than apply into the LCM equation.

GCF(404,406) = 2
LCM(404,406) = ( 404 × 406) / 2
LCM(404,406) = 164024 / 2
LCM(404,406) = 82012

Properties of LCM 404 and 406

(i) The LCM of 406 and 404 is associative

LCM of 404 and 406 = LCM of 406 and 404

Related Least Common Multiples of 404

Related Least Common Multiples of 406

Frequently Asked Questions on LCM of 404 and 406

1. What is the LCM of 404 and 406?

Answer: LCM of 404 and 406 is 82012.

2. What are the Factors of 404?

Answer: Factors of 404 are 1, 2, 4, 101, 202, 404. There are 6 integers that are factors of 404. The greatest factor of 404 is 404.

3. What are the Factors of 406?

Answer: Factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406. There are 8 integers that are factors of 406. The greatest factor of 406 is 406.

4. How to Find the LCM of 404 and 406?

Answer:

Least Common Multiple of 404 and 406 = 82012

Step 1: Find the prime factorization of 404

404 = 2 x 2 x 101

Step 2: Find the prime factorization of 406

406 = 2 x 7 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 = 82012 = 2 x 2 x 7 x 29 x 101

Step 4: Therefore, the least common multiple of 404 and 406 is 82012.