Least Common Multiple of 4308 and 4315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4308 and 4315 the smallest integer that is 18589020 that is divisible by both numbers.

Least Common Multiple (LCM) of 4308 and 4315 is 18589020.

LCM(4308,4315) = 18589020

LCM of 4308 and 4315

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

LCM of:
and

Least Common Multiple of 4308 and 4315

LCM of 4308 and 4315 is 18589020

Least common multiple can be found by multiplying the highest exponent prime factors of 4308 and 4315. First we will calculate the prime factors of 4308 and 4315.

Prime Factorization of 4308


2 4308
2 2154
3 1077
359 359
1

Prime factors of 4308 are 2, 3,359. Prime factorization of 4308 in exponential form is:

4308 = 22×31×3591

Prime Factorization of 4315


5 4315
863 863
1

Prime factors of 4315 are 5,863. Prime factorization of 4315 in exponential form is:

4315 = 51×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 4308 and 4315.

LCM(4308,4315) = 22×31×51×3591×8631
LCM(4308,4315) = 18589020

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308

Factors of 4315

List of positive integer factors of 4315 that divides 4315 without a remainder.

1, 5, 863, 4315

Least Common Multiple of 4308 and 4315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4308 and 4315, than apply into the LCM equation.

GCF(4308,4315) = 1
LCM(4308,4315) = ( 4308 × 4315) / 1
LCM(4308,4315) = 18589020 / 1
LCM(4308,4315) = 18589020

Properties of LCM 4308 and 4315

(i) The LCM of 4315 and 4308 is associative

LCM of 4308 and 4315 = LCM of 4315 and 4308

Related Least Common Multiples of 4308

Related Least Common Multiples of 4315

Frequently Asked Questions on LCM of 4308 and 4315

1. What is the LCM of 4308 and 4315?

Answer: LCM of 4308 and 4315 is 18589020.

2. What are the Factors of 4308?

Answer: Factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308. There are 12 integers that are factors of 4308. The greatest factor of 4308 is 4308.

3. What are the Factors of 4315?

Answer: Factors of 4315 are 1, 5, 863, 4315. There are 4 integers that are factors of 4315. The greatest factor of 4315 is 4315.

4. How to Find the LCM of 4308 and 4315?

Answer:

Least Common Multiple of 4308 and 4315 = 18589020

Step 1: Find the prime factorization of 4308

4308 = 2 x 2 x 3 x 359

Step 2: Find the prime factorization of 4315

4315 = 5 x 863

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

LCM = 18589020 = 2 x 2 x 3 x 5 x 359 x 863

Step 4: Therefore, the least common multiple of 4308 and 4315 is 18589020.