Least Common Multiple of 310403 and 310404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310403 and 310404 the smallest integer that is 96350332812 that is divisible by both numbers.

Least Common Multiple (LCM) of 310403 and 310404 is 96350332812.

LCM(310403,310404) = 96350332812

LCM of 310403 and 310404

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

LCM of:
and

Least Common Multiple of 310403 and 310404

LCM of 310403 and 310404 is 96350332812

Least common multiple can be found by multiplying the highest exponent prime factors of 310403 and 310404. First we will calculate the prime factors of 310403 and 310404.

Prime Factorization of 310403


17 310403
19 18259
31 961
31 31
1

Prime factors of 310403 are 17, 19,31. Prime factorization of 310403 in exponential form is:

310403 = 171×191×312

Prime Factorization of 310404


2 310404
2 155202
3 77601
25867 25867
1

Prime factors of 310404 are 2, 3,25867. Prime factorization of 310404 in exponential form is:

310404 = 22×31×258671

Now multiplying the highest exponent prime factors to calculate the LCM of 310403 and 310404.

LCM(310403,310404) = 22×31×171×191×312×258671
LCM(310403,310404) = 96350332812

Factors of 310403

List of positive integer factors of 310403 that divides 310403 without a remainder.

1, 17, 19, 31, 323, 527, 589, 961, 10013, 16337, 18259, 310403

Factors of 310404

List of positive integer factors of 310404 that divides 310404 without a remainder.

1, 2, 3, 4, 6, 12, 25867, 51734, 77601, 103468, 155202, 310404

Least Common Multiple of 310403 and 310404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310403 and 310404, than apply into the LCM equation.

GCF(310403,310404) = 1
LCM(310403,310404) = ( 310403 × 310404) / 1
LCM(310403,310404) = 96350332812 / 1
LCM(310403,310404) = 96350332812

Properties of LCM 310403 and 310404

(i) The LCM of 310404 and 310403 is associative

LCM of 310403 and 310404 = LCM of 310404 and 310403

Related Least Common Multiples of 310403

Related Least Common Multiples of 310404

Frequently Asked Questions on LCM of 310403 and 310404

1. What is the LCM of 310403 and 310404?

Answer: LCM of 310403 and 310404 is 96350332812.

2. What are the Factors of 310403?

Answer: Factors of 310403 are 1, 17, 19, 31, 323, 527, 589, 961, 10013, 16337, 18259, 310403. There are 12 integers that are factors of 310403. The greatest factor of 310403 is 310403.

3. What are the Factors of 310404?

Answer: Factors of 310404 are 1, 2, 3, 4, 6, 12, 25867, 51734, 77601, 103468, 155202, 310404. There are 12 integers that are factors of 310404. The greatest factor of 310404 is 310404.

4. How to Find the LCM of 310403 and 310404?

Answer:

Least Common Multiple of 310403 and 310404 = 96350332812

Step 1: Find the prime factorization of 310403

310403 = 17 x 19 x 31 x 31

Step 2: Find the prime factorization of 310404

310404 = 2 x 2 x 3 x 25867

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

LCM = 96350332812 = 2 x 2 x 3 x 17 x 19 x 31 x 31 x 25867

Step 4: Therefore, the least common multiple of 310403 and 310404 is 96350332812.