Least Common Multiple of 20393 and 20401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20393 and 20401 the smallest integer that is 416037593 that is divisible by both numbers.

Least Common Multiple (LCM) of 20393 and 20401 is 416037593.

LCM(20393,20401) = 416037593

LCM of 20393 and 20401

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

LCM of:
and

Least Common Multiple of 20393 and 20401

LCM of 20393 and 20401 is 416037593

Least common multiple can be found by multiplying the highest exponent prime factors of 20393 and 20401. First we will calculate the prime factors of 20393 and 20401.

Prime Factorization of 20393


20393 20393
1

Prime factors of 20393 are 20393. Prime factorization of 20393 in exponential form is:

20393 = 203931

Prime Factorization of 20401


23 20401
887 887
1

Prime factors of 20401 are 23,887. Prime factorization of 20401 in exponential form is:

20401 = 231×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 20393 and 20401.

LCM(20393,20401) = 231×8871×203931
LCM(20393,20401) = 416037593

Factors of 20393

List of positive integer factors of 20393 that divides 20393 without a remainder.

1, 20393

Factors of 20401

List of positive integer factors of 20401 that divides 20401 without a remainder.

1, 23, 887, 20401

Least Common Multiple of 20393 and 20401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20393 and 20401, than apply into the LCM equation.

GCF(20393,20401) = 1
LCM(20393,20401) = ( 20393 × 20401) / 1
LCM(20393,20401) = 416037593 / 1
LCM(20393,20401) = 416037593

Properties of LCM 20393 and 20401

(i) The LCM of 20401 and 20393 is associative

LCM of 20393 and 20401 = LCM of 20401 and 20393

Related Least Common Multiples of 20393

Related Least Common Multiples of 20401

Frequently Asked Questions on LCM of 20393 and 20401

1. What is the LCM of 20393 and 20401?

Answer: LCM of 20393 and 20401 is 416037593.

2. What are the Factors of 20393?

Answer: Factors of 20393 are 1, 20393. There are 2 integers that are factors of 20393. The greatest factor of 20393 is 20393.

3. What are the Factors of 20401?

Answer: Factors of 20401 are 1, 23, 887, 20401. There are 4 integers that are factors of 20401. The greatest factor of 20401 is 20401.

4. How to Find the LCM of 20393 and 20401?

Answer:

Least Common Multiple of 20393 and 20401 = 416037593

Step 1: Find the prime factorization of 20393

20393 = 20393

Step 2: Find the prime factorization of 20401

20401 = 23 x 887

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

LCM = 416037593 = 23 x 887 x 20393

Step 4: Therefore, the least common multiple of 20393 and 20401 is 416037593.