Least Common Multiple of 403 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 403 and 406 the smallest integer that is 163618 that is divisible by both numbers.

Least Common Multiple (LCM) of 403 and 406 is 163618.

LCM(403,406) = 163618

LCM of 403 and 406

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

LCM of:
and

Least Common Multiple of 403 and 406

LCM of 403 and 406 is 163618

Least common multiple can be found by multiplying the highest exponent prime factors of 403 and 406. First we will calculate the prime factors of 403 and 406.

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 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 403 and 406.

LCM(403,406) = 21×71×131×291×311
LCM(403,406) = 163618

Factors of 403

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

1, 13, 31, 403

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 403 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 403 and 406, than apply into the LCM equation.

GCF(403,406) = 1
LCM(403,406) = ( 403 × 406) / 1
LCM(403,406) = 163618 / 1
LCM(403,406) = 163618

Properties of LCM 403 and 406

(i) The LCM of 406 and 403 is associative

LCM of 403 and 406 = LCM of 406 and 403

Related Least Common Multiples of 403

Related Least Common Multiples of 406

Frequently Asked Questions on LCM of 403 and 406

1. What is the LCM of 403 and 406?

Answer: LCM of 403 and 406 is 163618.

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 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 403 and 406?

Answer:

Least Common Multiple of 403 and 406 = 163618

Step 1: Find the prime factorization of 403

403 = 13 x 31

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 = 163618 = 2 x 7 x 13 x 29 x 31

Step 4: Therefore, the least common multiple of 403 and 406 is 163618.