Least Common Multiple of 401 and 406

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 406 the smallest integer that is 162806 that is divisible by both numbers.

Least Common Multiple (LCM) of 401 and 406 is 162806.

LCM(401,406) = 162806

LCM of 401 and 406

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

LCM of:
and

Least Common Multiple of 401 and 406

LCM of 401 and 406 is 162806

Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 406. First we will calculate the prime factors of 401 and 406.

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 406


2 406
7 203
29 29
1

Prime factors of 406 are 2, 7,29. Prime factorization of 406 in exponential form is:

406 = 21×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 401 and 406.

LCM(401,406) = 21×71×291×4011
LCM(401,406) = 162806

Factors of 401

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

1, 401

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Least Common Multiple of 401 and 406 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 406, than apply into the LCM equation.

GCF(401,406) = 1
LCM(401,406) = ( 401 × 406) / 1
LCM(401,406) = 162806 / 1
LCM(401,406) = 162806

Properties of LCM 401 and 406

(i) The LCM of 406 and 401 is associative

LCM of 401 and 406 = LCM of 406 and 401

Related Least Common Multiples of 401

Related Least Common Multiples of 406

Frequently Asked Questions on LCM of 401 and 406

1. What is the LCM of 401 and 406?

Answer: LCM of 401 and 406 is 162806.

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 406?

Answer: Factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406. There are 8 integers that are factors of 406. The greatest factor of 406 is 406.

4. How to Find the LCM of 401 and 406?

Answer:

Least Common Multiple of 401 and 406 = 162806

Step 1: Find the prime factorization of 401

401 = 401

Step 2: Find the prime factorization of 406

406 = 2 x 7 x 29

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

LCM = 162806 = 2 x 7 x 29 x 401

Step 4: Therefore, the least common multiple of 401 and 406 is 162806.