Least Common Multiple of 396 and 401

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 401 the smallest integer that is 158796 that is divisible by both numbers.

Least Common Multiple (LCM) of 396 and 401 is 158796.

LCM(396,401) = 158796

LCM of 396 and 401

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

LCM of:
and

Least Common Multiple of 396 and 401

LCM of 396 and 401 is 158796

Least common multiple can be found by multiplying the highest exponent prime factors of 396 and 401. First we will calculate the prime factors of 396 and 401.

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 401


401 401
1

Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:

401 = 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 396 and 401.

LCM(396,401) = 22×32×111×4011
LCM(396,401) = 158796

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 401

List of positive integer factors of 401 that divides 401 without a remainder.

1, 401

Least Common Multiple of 396 and 401 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 401, than apply into the LCM equation.

GCF(396,401) = 1
LCM(396,401) = ( 396 × 401) / 1
LCM(396,401) = 158796 / 1
LCM(396,401) = 158796

Properties of LCM 396 and 401

(i) The LCM of 401 and 396 is associative

LCM of 396 and 401 = LCM of 401 and 396

Related Least Common Multiples of 396

Related Least Common Multiples of 401

Frequently Asked Questions on LCM of 396 and 401

1. What is the LCM of 396 and 401?

Answer: LCM of 396 and 401 is 158796.

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 401?

Answer: Factors of 401 are 1, 401. There are 2 integers that are factors of 401. The greatest factor of 401 is 401.

4. How to Find the LCM of 396 and 401?

Answer:

Least Common Multiple of 396 and 401 = 158796

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 401

401 = 401

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

LCM = 158796 = 2 x 2 x 3 x 3 x 11 x 401

Step 4: Therefore, the least common multiple of 396 and 401 is 158796.