Least Common Multiple of 310405 and 310409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310405 and 310409 the smallest integer that is 96352505645 that is divisible by both numbers.

Least Common Multiple (LCM) of 310405 and 310409 is 96352505645.

LCM(310405,310409) = 96352505645

LCM of 310405 and 310409

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

LCM of:
and

Least Common Multiple of 310405 and 310409

LCM of 310405 and 310409 is 96352505645

Least common multiple can be found by multiplying the highest exponent prime factors of 310405 and 310409. First we will calculate the prime factors of 310405 and 310409.

Prime Factorization of 310405


5 310405
62081 62081
1

Prime factors of 310405 are 5,62081. Prime factorization of 310405 in exponential form is:

310405 = 51×620811

Prime Factorization of 310409


11 310409
28219 28219
1

Prime factors of 310409 are 11,28219. Prime factorization of 310409 in exponential form is:

310409 = 111×282191

Now multiplying the highest exponent prime factors to calculate the LCM of 310405 and 310409.

LCM(310405,310409) = 51×111×282191×620811
LCM(310405,310409) = 96352505645

Factors of 310405

List of positive integer factors of 310405 that divides 310405 without a remainder.

1, 5, 62081, 310405

Factors of 310409

List of positive integer factors of 310409 that divides 310409 without a remainder.

1, 11, 28219, 310409

Least Common Multiple of 310405 and 310409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310405 and 310409, than apply into the LCM equation.

GCF(310405,310409) = 1
LCM(310405,310409) = ( 310405 × 310409) / 1
LCM(310405,310409) = 96352505645 / 1
LCM(310405,310409) = 96352505645

Properties of LCM 310405 and 310409

(i) The LCM of 310409 and 310405 is associative

LCM of 310405 and 310409 = LCM of 310409 and 310405

Related Least Common Multiples of 310405

Related Least Common Multiples of 310409

Frequently Asked Questions on LCM of 310405 and 310409

1. What is the LCM of 310405 and 310409?

Answer: LCM of 310405 and 310409 is 96352505645.

2. What are the Factors of 310405?

Answer: Factors of 310405 are 1, 5, 62081, 310405. There are 4 integers that are factors of 310405. The greatest factor of 310405 is 310405.

3. What are the Factors of 310409?

Answer: Factors of 310409 are 1, 11, 28219, 310409. There are 4 integers that are factors of 310409. The greatest factor of 310409 is 310409.

4. How to Find the LCM of 310405 and 310409?

Answer:

Least Common Multiple of 310405 and 310409 = 96352505645

Step 1: Find the prime factorization of 310405

310405 = 5 x 62081

Step 2: Find the prime factorization of 310409

310409 = 11 x 28219

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

LCM = 96352505645 = 5 x 11 x 28219 x 62081

Step 4: Therefore, the least common multiple of 310405 and 310409 is 96352505645.