Least Common Multiple of 403 and 404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 403 and 404 the smallest integer that is 162812 that is divisible by both numbers.

Least Common Multiple (LCM) of 403 and 404 is 162812.

LCM(403,404) = 162812

LCM of 403 and 404

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

LCM of:
and

Least Common Multiple of 403 and 404

LCM of 403 and 404 is 162812

Least common multiple can be found by multiplying the highest exponent prime factors of 403 and 404. First we will calculate the prime factors of 403 and 404.

Prime Factorization of 403


13 403
31 31
1

Prime factors of 403 are 13,31. Prime factorization of 403 in exponential form is:

403 = 131×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 403 and 404.

LCM(403,404) = 22×131×311×1011
LCM(403,404) = 162812

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Factors of 404

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

1, 2, 4, 101, 202, 404

Least Common Multiple of 403 and 404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 403 and 404, than apply into the LCM equation.

GCF(403,404) = 1
LCM(403,404) = ( 403 × 404) / 1
LCM(403,404) = 162812 / 1
LCM(403,404) = 162812

Properties of LCM 403 and 404

(i) The LCM of 404 and 403 is associative

LCM of 403 and 404 = LCM of 404 and 403

Related Least Common Multiples of 403

Related Least Common Multiples of 404

Frequently Asked Questions on LCM of 403 and 404

1. What is the LCM of 403 and 404?

Answer: LCM of 403 and 404 is 162812.

2. What are the Factors of 403?

Answer: Factors of 403 are 1, 13, 31, 403. There are 4 integers that are factors of 403. The greatest factor of 403 is 403.

3. 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.

4. How to Find the LCM of 403 and 404?

Answer:

Least Common Multiple of 403 and 404 = 162812

Step 1: Find the prime factorization of 403

403 = 13 x 31

Step 2: Find the prime factorization of 404

404 = 2 x 2 x 101

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

LCM = 162812 = 2 x 2 x 13 x 31 x 101

Step 4: Therefore, the least common multiple of 403 and 404 is 162812.