Least Common Multiple of 31411 and 31416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31411 and 31416 the smallest integer that is 986807976 that is divisible by both numbers.

Least Common Multiple (LCM) of 31411 and 31416 is 986807976.

LCM(31411,31416) = 986807976

LCM of 31411 and 31416

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

LCM of:
and

Least Common Multiple of 31411 and 31416

LCM of 31411 and 31416 is 986807976

Least common multiple can be found by multiplying the highest exponent prime factors of 31411 and 31416. First we will calculate the prime factors of 31411 and 31416.

Prime Factorization of 31411


101 31411
311 311
1

Prime factors of 31411 are 101,311. Prime factorization of 31411 in exponential form is:

31411 = 1011×3111

Prime Factorization of 31416


2 31416
2 15708
2 7854
3 3927
7 1309
11 187
17 17
1

Prime factors of 31416 are 2, 3, 7, 11,17. Prime factorization of 31416 in exponential form is:

31416 = 23×31×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 31411 and 31416.

LCM(31411,31416) = 23×31×71×111×171×1011×3111
LCM(31411,31416) = 986807976

Factors of 31411

List of positive integer factors of 31411 that divides 31411 without a remainder.

1, 101, 311, 31411

Factors of 31416

List of positive integer factors of 31416 that divides 31416 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 17, 21, 22, 24, 28, 33, 34, 42, 44, 51, 56, 66, 68, 77, 84, 88, 102, 119, 132, 136, 154, 168, 187, 204, 231, 238, 264, 308, 357, 374, 408, 462, 476, 561, 616, 714, 748, 924, 952, 1122, 1309, 1428, 1496, 1848, 2244, 2618, 2856, 3927, 4488, 5236, 7854, 10472, 15708, 31416

Least Common Multiple of 31411 and 31416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31411 and 31416, than apply into the LCM equation.

GCF(31411,31416) = 1
LCM(31411,31416) = ( 31411 × 31416) / 1
LCM(31411,31416) = 986807976 / 1
LCM(31411,31416) = 986807976

Properties of LCM 31411 and 31416

(i) The LCM of 31416 and 31411 is associative

LCM of 31411 and 31416 = LCM of 31416 and 31411

Related Least Common Multiples of 31411

Related Least Common Multiples of 31416

Frequently Asked Questions on LCM of 31411 and 31416

1. What is the LCM of 31411 and 31416?

Answer: LCM of 31411 and 31416 is 986807976.

2. What are the Factors of 31411?

Answer: Factors of 31411 are 1, 101, 311, 31411. There are 4 integers that are factors of 31411. The greatest factor of 31411 is 31411.

3. What are the Factors of 31416?

Answer: Factors of 31416 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 17, 21, 22, 24, 28, 33, 34, 42, 44, 51, 56, 66, 68, 77, 84, 88, 102, 119, 132, 136, 154, 168, 187, 204, 231, 238, 264, 308, 357, 374, 408, 462, 476, 561, 616, 714, 748, 924, 952, 1122, 1309, 1428, 1496, 1848, 2244, 2618, 2856, 3927, 4488, 5236, 7854, 10472, 15708, 31416. There are 64 integers that are factors of 31416. The greatest factor of 31416 is 31416.

4. How to Find the LCM of 31411 and 31416?

Answer:

Least Common Multiple of 31411 and 31416 = 986807976

Step 1: Find the prime factorization of 31411

31411 = 101 x 311

Step 2: Find the prime factorization of 31416

31416 = 2 x 2 x 2 x 3 x 7 x 11 x 17

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

LCM = 986807976 = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 101 x 311

Step 4: Therefore, the least common multiple of 31411 and 31416 is 986807976.