Least Common Multiple of 4311 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 4311 and 4315 the smallest integer that is 18601965 that is divisible by both numbers.

Least Common Multiple (LCM) of 4311 and 4315 is 18601965.

LCM(4311,4315) = 18601965

LCM of 4311 and 4315

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

LCM of:
and

Least Common Multiple of 4311 and 4315

LCM of 4311 and 4315 is 18601965

Least common multiple can be found by multiplying the highest exponent prime factors of 4311 and 4315. First we will calculate the prime factors of 4311 and 4315.

Prime Factorization of 4311


3 4311
3 1437
479 479
1

Prime factors of 4311 are 3,479. Prime factorization of 4311 in exponential form is:

4311 = 32×4791

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 4311 and 4315.

LCM(4311,4315) = 32×51×4791×8631
LCM(4311,4315) = 18601965

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1, 3, 9, 479, 1437, 4311

Factors of 4315

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

1, 5, 863, 4315

Least Common Multiple of 4311 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 4311 and 4315, than apply into the LCM equation.

GCF(4311,4315) = 1
LCM(4311,4315) = ( 4311 × 4315) / 1
LCM(4311,4315) = 18601965 / 1
LCM(4311,4315) = 18601965

Properties of LCM 4311 and 4315

(i) The LCM of 4315 and 4311 is associative

LCM of 4311 and 4315 = LCM of 4315 and 4311

Related Least Common Multiples of 4311

Related Least Common Multiples of 4315

Frequently Asked Questions on LCM of 4311 and 4315

1. What is the LCM of 4311 and 4315?

Answer: LCM of 4311 and 4315 is 18601965.

2. What are the Factors of 4311?

Answer: Factors of 4311 are 1, 3, 9, 479, 1437, 4311. There are 6 integers that are factors of 4311. The greatest factor of 4311 is 4311.

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 4311 and 4315?

Answer:

Least Common Multiple of 4311 and 4315 = 18601965

Step 1: Find the prime factorization of 4311

4311 = 3 x 3 x 479

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 = 18601965 = 3 x 3 x 5 x 479 x 863

Step 4: Therefore, the least common multiple of 4311 and 4315 is 18601965.