Least Common Multiple of 401 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 401 and 404 the smallest integer that is 162004 that is divisible by both numbers.

Least Common Multiple (LCM) of 401 and 404 is 162004.

LCM(401,404) = 162004

LCM of 401 and 404

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

LCM of:
and

Least Common Multiple of 401 and 404

LCM of 401 and 404 is 162004

Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 404. First we will calculate the prime factors of 401 and 404.

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 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 401 and 404.

LCM(401,404) = 22×1011×4011
LCM(401,404) = 162004

Factors of 401

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

1, 401

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 401 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 401 and 404, than apply into the LCM equation.

GCF(401,404) = 1
LCM(401,404) = ( 401 × 404) / 1
LCM(401,404) = 162004 / 1
LCM(401,404) = 162004

Properties of LCM 401 and 404

(i) The LCM of 404 and 401 is associative

LCM of 401 and 404 = LCM of 404 and 401

Related Least Common Multiples of 401

Related Least Common Multiples of 404

Frequently Asked Questions on LCM of 401 and 404

1. What is the LCM of 401 and 404?

Answer: LCM of 401 and 404 is 162004.

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 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 401 and 404?

Answer:

Least Common Multiple of 401 and 404 = 162004

Step 1: Find the prime factorization of 401

401 = 401

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 = 162004 = 2 x 2 x 101 x 401

Step 4: Therefore, the least common multiple of 401 and 404 is 162004.