Least Common Multiple of 399 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 399 and 401 the smallest integer that is 159999 that is divisible by both numbers.

Least Common Multiple (LCM) of 399 and 401 is 159999.

LCM(399,401) = 159999

LCM of 399 and 401

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

LCM of:
and

Least Common Multiple of 399 and 401

LCM of 399 and 401 is 159999

Least common multiple can be found by multiplying the highest exponent prime factors of 399 and 401. First we will calculate the prime factors of 399 and 401.

Prime Factorization of 399


3 399
7 133
19 19
1

Prime factors of 399 are 3, 7,19. Prime factorization of 399 in exponential form is:

399 = 31×71×191

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 399 and 401.

LCM(399,401) = 31×71×191×4011
LCM(399,401) = 159999

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Factors of 401

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

1, 401

Least Common Multiple of 399 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 399 and 401, than apply into the LCM equation.

GCF(399,401) = 1
LCM(399,401) = ( 399 × 401) / 1
LCM(399,401) = 159999 / 1
LCM(399,401) = 159999

Properties of LCM 399 and 401

(i) The LCM of 401 and 399 is associative

LCM of 399 and 401 = LCM of 401 and 399

Related Least Common Multiples of 399

Related Least Common Multiples of 401

Frequently Asked Questions on LCM of 399 and 401

1. What is the LCM of 399 and 401?

Answer: LCM of 399 and 401 is 159999.

2. What are the Factors of 399?

Answer: Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. There are 8 integers that are factors of 399. The greatest factor of 399 is 399.

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 399 and 401?

Answer:

Least Common Multiple of 399 and 401 = 159999

Step 1: Find the prime factorization of 399

399 = 3 x 7 x 19

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 = 159999 = 3 x 7 x 19 x 401

Step 4: Therefore, the least common multiple of 399 and 401 is 159999.