Least Common Multiple of 308405 and 308413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308405 and 308413 the smallest integer that is 95116111265 that is divisible by both numbers.

Least Common Multiple (LCM) of 308405 and 308413 is 95116111265.

LCM(308405,308413) = 95116111265

LCM of 308405 and 308413

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

LCM of:
and

Least Common Multiple of 308405 and 308413

LCM of 308405 and 308413 is 95116111265

Least common multiple can be found by multiplying the highest exponent prime factors of 308405 and 308413. First we will calculate the prime factors of 308405 and 308413.

Prime Factorization of 308405


5 308405
61681 61681
1

Prime factors of 308405 are 5,61681. Prime factorization of 308405 in exponential form is:

308405 = 51×616811

Prime Factorization of 308413


7 308413
44059 44059
1

Prime factors of 308413 are 7,44059. Prime factorization of 308413 in exponential form is:

308413 = 71×440591

Now multiplying the highest exponent prime factors to calculate the LCM of 308405 and 308413.

LCM(308405,308413) = 51×71×440591×616811
LCM(308405,308413) = 95116111265

Factors of 308405

List of positive integer factors of 308405 that divides 308405 without a remainder.

1, 5, 61681, 308405

Factors of 308413

List of positive integer factors of 308413 that divides 308413 without a remainder.

1, 7, 44059, 308413

Least Common Multiple of 308405 and 308413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308405 and 308413, than apply into the LCM equation.

GCF(308405,308413) = 1
LCM(308405,308413) = ( 308405 × 308413) / 1
LCM(308405,308413) = 95116111265 / 1
LCM(308405,308413) = 95116111265

Properties of LCM 308405 and 308413

(i) The LCM of 308413 and 308405 is associative

LCM of 308405 and 308413 = LCM of 308413 and 308405

Related Least Common Multiples of 308405

Related Least Common Multiples of 308413

Frequently Asked Questions on LCM of 308405 and 308413

1. What is the LCM of 308405 and 308413?

Answer: LCM of 308405 and 308413 is 95116111265.

2. What are the Factors of 308405?

Answer: Factors of 308405 are 1, 5, 61681, 308405. There are 4 integers that are factors of 308405. The greatest factor of 308405 is 308405.

3. What are the Factors of 308413?

Answer: Factors of 308413 are 1, 7, 44059, 308413. There are 4 integers that are factors of 308413. The greatest factor of 308413 is 308413.

4. How to Find the LCM of 308405 and 308413?

Answer:

Least Common Multiple of 308405 and 308413 = 95116111265

Step 1: Find the prime factorization of 308405

308405 = 5 x 61681

Step 2: Find the prime factorization of 308413

308413 = 7 x 44059

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

LCM = 95116111265 = 5 x 7 x 44059 x 61681

Step 4: Therefore, the least common multiple of 308405 and 308413 is 95116111265.