Least Common Multiple of 404 and 409

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 409 the smallest integer that is 165236 that is divisible by both numbers.

Least Common Multiple (LCM) of 404 and 409 is 165236.

LCM(404,409) = 165236

LCM of 404 and 409

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

LCM of:
and

Least Common Multiple of 404 and 409

LCM of 404 and 409 is 165236

Least common multiple can be found by multiplying the highest exponent prime factors of 404 and 409. First we will calculate the prime factors of 404 and 409.

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 409


409 409
1

Prime factors of 409 are 409. Prime factorization of 409 in exponential form is:

409 = 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 404 and 409.

LCM(404,409) = 22×1011×4091
LCM(404,409) = 165236

Factors of 404

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

1, 2, 4, 101, 202, 404

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1, 409

Least Common Multiple of 404 and 409 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 409, than apply into the LCM equation.

GCF(404,409) = 1
LCM(404,409) = ( 404 × 409) / 1
LCM(404,409) = 165236 / 1
LCM(404,409) = 165236

Properties of LCM 404 and 409

(i) The LCM of 409 and 404 is associative

LCM of 404 and 409 = LCM of 409 and 404

Related Least Common Multiples of 404

Related Least Common Multiples of 409

Frequently Asked Questions on LCM of 404 and 409

1. What is the LCM of 404 and 409?

Answer: LCM of 404 and 409 is 165236.

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 409?

Answer: Factors of 409 are 1, 409. There are 2 integers that are factors of 409. The greatest factor of 409 is 409.

4. How to Find the LCM of 404 and 409?

Answer:

Least Common Multiple of 404 and 409 = 165236

Step 1: Find the prime factorization of 404

404 = 2 x 2 x 101

Step 2: Find the prime factorization of 409

409 = 409

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

LCM = 165236 = 2 x 2 x 101 x 409

Step 4: Therefore, the least common multiple of 404 and 409 is 165236.