Least Common Multiple of 401 and 408

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 408 the smallest integer that is 163608 that is divisible by both numbers.

Least Common Multiple (LCM) of 401 and 408 is 163608.

LCM(401,408) = 163608

LCM of 401 and 408

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

LCM of:
and

Least Common Multiple of 401 and 408

LCM of 401 and 408 is 163608

Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 408. First we will calculate the prime factors of 401 and 408.

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 408


2 408
2 204
2 102
3 51
17 17
1

Prime factors of 408 are 2, 3,17. Prime factorization of 408 in exponential form is:

408 = 23×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 401 and 408.

LCM(401,408) = 23×31×171×4011
LCM(401,408) = 163608

Factors of 401

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

1, 401

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Least Common Multiple of 401 and 408 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 408, than apply into the LCM equation.

GCF(401,408) = 1
LCM(401,408) = ( 401 × 408) / 1
LCM(401,408) = 163608 / 1
LCM(401,408) = 163608

Properties of LCM 401 and 408

(i) The LCM of 408 and 401 is associative

LCM of 401 and 408 = LCM of 408 and 401

Related Least Common Multiples of 401

Related Least Common Multiples of 408

Frequently Asked Questions on LCM of 401 and 408

1. What is the LCM of 401 and 408?

Answer: LCM of 401 and 408 is 163608.

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 408?

Answer: Factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408. There are 16 integers that are factors of 408. The greatest factor of 408 is 408.

4. How to Find the LCM of 401 and 408?

Answer:

Least Common Multiple of 401 and 408 = 163608

Step 1: Find the prime factorization of 401

401 = 401

Step 2: Find the prime factorization of 408

408 = 2 x 2 x 2 x 3 x 17

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

LCM = 163608 = 2 x 2 x 2 x 3 x 17 x 401

Step 4: Therefore, the least common multiple of 401 and 408 is 163608.