Least Common Multiple of 396 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 396 and 404 the smallest integer that is 39996 that is divisible by both numbers.

Least Common Multiple (LCM) of 396 and 404 is 39996.

LCM(396,404) = 39996

LCM of 396 and 404

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

LCM of:
and

Least Common Multiple of 396 and 404

LCM of 396 and 404 is 39996

Least common multiple can be found by multiplying the highest exponent prime factors of 396 and 404. First we will calculate the prime factors of 396 and 404.

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 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 396 and 404.

LCM(396,404) = 22×32×111×1011
LCM(396,404) = 39996

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 404

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

1, 2, 4, 101, 202, 404

Least Common Multiple of 396 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 396 and 404, than apply into the LCM equation.

GCF(396,404) = 4
LCM(396,404) = ( 396 × 404) / 4
LCM(396,404) = 159984 / 4
LCM(396,404) = 39996

Properties of LCM 396 and 404

(i) The LCM of 404 and 396 is associative

LCM of 396 and 404 = LCM of 404 and 396

Related Least Common Multiples of 396

Related Least Common Multiples of 404

Frequently Asked Questions on LCM of 396 and 404

1. What is the LCM of 396 and 404?

Answer: LCM of 396 and 404 is 39996.

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 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 396 and 404?

Answer:

Least Common Multiple of 396 and 404 = 39996

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 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 = 39996 = 2 x 2 x 3 x 3 x 11 x 101

Step 4: Therefore, the least common multiple of 396 and 404 is 39996.