Least Common Multiple of 401 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 401 and 403 the smallest integer that is 161603 that is divisible by both numbers.

Least Common Multiple (LCM) of 401 and 403 is 161603.

LCM(401,403) = 161603

LCM of 401 and 403

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

LCM of:
and

Least Common Multiple of 401 and 403

LCM of 401 and 403 is 161603

Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 403. First we will calculate the prime factors of 401 and 403.

Prime Factorization of 401


401 401
1

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

401 = 4011

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 401 and 403.

LCM(401,403) = 131×311×4011
LCM(401,403) = 161603

Factors of 401

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

1, 401

Factors of 403

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

1, 13, 31, 403

Least Common Multiple of 401 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 401 and 403, than apply into the LCM equation.

GCF(401,403) = 1
LCM(401,403) = ( 401 × 403) / 1
LCM(401,403) = 161603 / 1
LCM(401,403) = 161603

Properties of LCM 401 and 403

(i) The LCM of 403 and 401 is associative

LCM of 401 and 403 = LCM of 403 and 401

Related Least Common Multiples of 401

Related Least Common Multiples of 403

Frequently Asked Questions on LCM of 401 and 403

1. What is the LCM of 401 and 403?

Answer: LCM of 401 and 403 is 161603.

2. 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.

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 401 and 403?

Answer:

Least Common Multiple of 401 and 403 = 161603

Step 1: Find the prime factorization of 401

401 = 401

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 = 161603 = 13 x 31 x 401

Step 4: Therefore, the least common multiple of 401 and 403 is 161603.