Least Common Multiple of 396 and 403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 396 and 403 the smallest integer that is 159588 that is divisible by both numbers.

Least Common Multiple (LCM) of 396 and 403 is 159588.

LCM(396,403) = 159588

LCM of 396 and 403

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

LCM of:
and

Least Common Multiple of 396 and 403

LCM of 396 and 403 is 159588

Least common multiple can be found by multiplying the highest exponent prime factors of 396 and 403. First we will calculate the prime factors of 396 and 403.

Prime Factorization of 396


2 396
2 198
3 99
3 33
11 11
1

Prime factors of 396 are 2, 3,11. Prime factorization of 396 in exponential form is:

396 = 22×32×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 396 and 403.

LCM(396,403) = 22×32×111×131×311
LCM(396,403) = 159588

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Factors of 403

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

1, 13, 31, 403

Least Common Multiple of 396 and 403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 396 and 403, than apply into the LCM equation.

GCF(396,403) = 1
LCM(396,403) = ( 396 × 403) / 1
LCM(396,403) = 159588 / 1
LCM(396,403) = 159588

Properties of LCM 396 and 403

(i) The LCM of 403 and 396 is associative

LCM of 396 and 403 = LCM of 403 and 396

Related Least Common Multiples of 396

Related Least Common Multiples of 403

Frequently Asked Questions on LCM of 396 and 403

1. What is the LCM of 396 and 403?

Answer: LCM of 396 and 403 is 159588.

2. What are the Factors of 396?

Answer: Factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. There are 18 integers that are factors of 396. The greatest factor of 396 is 396.

3. 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.

4. How to Find the LCM of 396 and 403?

Answer:

Least Common Multiple of 396 and 403 = 159588

Step 1: Find the prime factorization of 396

396 = 2 x 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 403

403 = 13 x 31

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

LCM = 159588 = 2 x 2 x 3 x 3 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 396 and 403 is 159588.