Least Common Multiple of 308407 and 308415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308407 and 308415 the smallest integer that is 95117344905 that is divisible by both numbers.

Least Common Multiple (LCM) of 308407 and 308415 is 95117344905.

LCM(308407,308415) = 95117344905

LCM of 308407 and 308415

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

LCM of:
and

Least Common Multiple of 308407 and 308415

LCM of 308407 and 308415 is 95117344905

Least common multiple can be found by multiplying the highest exponent prime factors of 308407 and 308415. First we will calculate the prime factors of 308407 and 308415.

Prime Factorization of 308407


11 308407
23 28037
23 1219
53 53
1

Prime factors of 308407 are 11, 23,53. Prime factorization of 308407 in exponential form is:

308407 = 111×232×531

Prime Factorization of 308415


3 308415
5 102805
29 20561
709 709
1

Prime factors of 308415 are 3, 5, 29,709. Prime factorization of 308415 in exponential form is:

308415 = 31×51×291×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 308407 and 308415.

LCM(308407,308415) = 31×51×111×232×291×531×7091
LCM(308407,308415) = 95117344905

Factors of 308407

List of positive integer factors of 308407 that divides 308407 without a remainder.

1, 11, 23, 53, 253, 529, 583, 1219, 5819, 13409, 28037, 308407

Factors of 308415

List of positive integer factors of 308415 that divides 308415 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435, 709, 2127, 3545, 10635, 20561, 61683, 102805, 308415

Least Common Multiple of 308407 and 308415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308407 and 308415, than apply into the LCM equation.

GCF(308407,308415) = 1
LCM(308407,308415) = ( 308407 × 308415) / 1
LCM(308407,308415) = 95117344905 / 1
LCM(308407,308415) = 95117344905

Properties of LCM 308407 and 308415

(i) The LCM of 308415 and 308407 is associative

LCM of 308407 and 308415 = LCM of 308415 and 308407

Related Least Common Multiples of 308407

Related Least Common Multiples of 308415

Frequently Asked Questions on LCM of 308407 and 308415

1. What is the LCM of 308407 and 308415?

Answer: LCM of 308407 and 308415 is 95117344905.

2. What are the Factors of 308407?

Answer: Factors of 308407 are 1, 11, 23, 53, 253, 529, 583, 1219, 5819, 13409, 28037, 308407. There are 12 integers that are factors of 308407. The greatest factor of 308407 is 308407.

3. What are the Factors of 308415?

Answer: Factors of 308415 are 1, 3, 5, 15, 29, 87, 145, 435, 709, 2127, 3545, 10635, 20561, 61683, 102805, 308415. There are 16 integers that are factors of 308415. The greatest factor of 308415 is 308415.

4. How to Find the LCM of 308407 and 308415?

Answer:

Least Common Multiple of 308407 and 308415 = 95117344905

Step 1: Find the prime factorization of 308407

308407 = 11 x 23 x 23 x 53

Step 2: Find the prime factorization of 308415

308415 = 3 x 5 x 29 x 709

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

LCM = 95117344905 = 3 x 5 x 11 x 23 x 23 x 29 x 53 x 709

Step 4: Therefore, the least common multiple of 308407 and 308415 is 95117344905.