Least Common Multiple of 31312 and 31317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31312 and 31317 the smallest integer that is 980597904 that is divisible by both numbers.

Least Common Multiple (LCM) of 31312 and 31317 is 980597904.

LCM(31312,31317) = 980597904

LCM of 31312 and 31317

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

LCM of:
and

Least Common Multiple of 31312 and 31317

LCM of 31312 and 31317 is 980597904

Least common multiple can be found by multiplying the highest exponent prime factors of 31312 and 31317. First we will calculate the prime factors of 31312 and 31317.

Prime Factorization of 31312


2 31312
2 15656
2 7828
2 3914
19 1957
103 103
1

Prime factors of 31312 are 2, 19,103. Prime factorization of 31312 in exponential form is:

31312 = 24×191×1031

Prime Factorization of 31317


3 31317
11 10439
13 949
73 73
1

Prime factors of 31317 are 3, 11, 13,73. Prime factorization of 31317 in exponential form is:

31317 = 31×111×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 31312 and 31317.

LCM(31312,31317) = 24×31×111×131×191×731×1031
LCM(31312,31317) = 980597904

Factors of 31312

List of positive integer factors of 31312 that divides 31312 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957, 3914, 7828, 15656, 31312

Factors of 31317

List of positive integer factors of 31317 that divides 31317 without a remainder.

1, 3, 11, 13, 33, 39, 73, 143, 219, 429, 803, 949, 2409, 2847, 10439, 31317

Least Common Multiple of 31312 and 31317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31312 and 31317, than apply into the LCM equation.

GCF(31312,31317) = 1
LCM(31312,31317) = ( 31312 × 31317) / 1
LCM(31312,31317) = 980597904 / 1
LCM(31312,31317) = 980597904

Properties of LCM 31312 and 31317

(i) The LCM of 31317 and 31312 is associative

LCM of 31312 and 31317 = LCM of 31317 and 31312

Related Least Common Multiples of 31312

Related Least Common Multiples of 31317

Frequently Asked Questions on LCM of 31312 and 31317

1. What is the LCM of 31312 and 31317?

Answer: LCM of 31312 and 31317 is 980597904.

2. What are the Factors of 31312?

Answer: Factors of 31312 are 1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957, 3914, 7828, 15656, 31312. There are 20 integers that are factors of 31312. The greatest factor of 31312 is 31312.

3. What are the Factors of 31317?

Answer: Factors of 31317 are 1, 3, 11, 13, 33, 39, 73, 143, 219, 429, 803, 949, 2409, 2847, 10439, 31317. There are 16 integers that are factors of 31317. The greatest factor of 31317 is 31317.

4. How to Find the LCM of 31312 and 31317?

Answer:

Least Common Multiple of 31312 and 31317 = 980597904

Step 1: Find the prime factorization of 31312

31312 = 2 x 2 x 2 x 2 x 19 x 103

Step 2: Find the prime factorization of 31317

31317 = 3 x 11 x 13 x 73

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

LCM = 980597904 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 19 x 73 x 103

Step 4: Therefore, the least common multiple of 31312 and 31317 is 980597904.