Least Common Multiple of 4312 and 4317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4312 and 4317 the smallest integer that is 18614904 that is divisible by both numbers.

Least Common Multiple (LCM) of 4312 and 4317 is 18614904.

LCM(4312,4317) = 18614904

LCM of 4312 and 4317

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

LCM of:
and

Least Common Multiple of 4312 and 4317

LCM of 4312 and 4317 is 18614904

Least common multiple can be found by multiplying the highest exponent prime factors of 4312 and 4317. First we will calculate the prime factors of 4312 and 4317.

Prime Factorization of 4312


2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 4312 are 2, 7,11. Prime factorization of 4312 in exponential form is:

4312 = 23×72×111

Prime Factorization of 4317


3 4317
1439 1439
1

Prime factors of 4317 are 3,1439. Prime factorization of 4317 in exponential form is:

4317 = 31×14391

Now multiplying the highest exponent prime factors to calculate the LCM of 4312 and 4317.

LCM(4312,4317) = 23×31×72×111×14391
LCM(4312,4317) = 18614904

Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312

Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1, 3, 1439, 4317

Least Common Multiple of 4312 and 4317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4312 and 4317, than apply into the LCM equation.

GCF(4312,4317) = 1
LCM(4312,4317) = ( 4312 × 4317) / 1
LCM(4312,4317) = 18614904 / 1
LCM(4312,4317) = 18614904

Properties of LCM 4312 and 4317

(i) The LCM of 4317 and 4312 is associative

LCM of 4312 and 4317 = LCM of 4317 and 4312

Related Least Common Multiples of 4312

Related Least Common Multiples of 4317

Frequently Asked Questions on LCM of 4312 and 4317

1. What is the LCM of 4312 and 4317?

Answer: LCM of 4312 and 4317 is 18614904.

2. What are the Factors of 4312?

Answer: Factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312. There are 24 integers that are factors of 4312. The greatest factor of 4312 is 4312.

3. What are the Factors of 4317?

Answer: Factors of 4317 are 1, 3, 1439, 4317. There are 4 integers that are factors of 4317. The greatest factor of 4317 is 4317.

4. How to Find the LCM of 4312 and 4317?

Answer:

Least Common Multiple of 4312 and 4317 = 18614904

Step 1: Find the prime factorization of 4312

4312 = 2 x 2 x 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 4317

4317 = 3 x 1439

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

LCM = 18614904 = 2 x 2 x 2 x 3 x 7 x 7 x 11 x 1439

Step 4: Therefore, the least common multiple of 4312 and 4317 is 18614904.