Least Common Multiple of 311402 and 311409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311402 and 311409 the smallest integer that is 13853340774 that is divisible by both numbers.

Least Common Multiple (LCM) of 311402 and 311409 is 13853340774.

LCM(311402,311409) = 13853340774

LCM of 311402 and 311409

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

LCM of:
and

Least Common Multiple of 311402 and 311409

LCM of 311402 and 311409 is 13853340774

Least common multiple can be found by multiplying the highest exponent prime factors of 311402 and 311409. First we will calculate the prime factors of 311402 and 311409.

Prime Factorization of 311402


2 311402
7 155701
13 22243
29 1711
59 59
1

Prime factors of 311402 are 2, 7, 13, 29,59. Prime factorization of 311402 in exponential form is:

311402 = 21×71×131×291×591

Prime Factorization of 311409


3 311409
3 103803
7 34601
4943 4943
1

Prime factors of 311409 are 3, 7,4943. Prime factorization of 311409 in exponential form is:

311409 = 32×71×49431

Now multiplying the highest exponent prime factors to calculate the LCM of 311402 and 311409.

LCM(311402,311409) = 21×32×71×131×291×591×49431
LCM(311402,311409) = 13853340774

Factors of 311402

List of positive integer factors of 311402 that divides 311402 without a remainder.

1, 2, 7, 13, 14, 26, 29, 58, 59, 91, 118, 182, 203, 377, 406, 413, 754, 767, 826, 1534, 1711, 2639, 3422, 5278, 5369, 10738, 11977, 22243, 23954, 44486, 155701, 311402

Factors of 311409

List of positive integer factors of 311409 that divides 311409 without a remainder.

1, 3, 7, 9, 21, 63, 4943, 14829, 34601, 44487, 103803, 311409

Least Common Multiple of 311402 and 311409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311402 and 311409, than apply into the LCM equation.

GCF(311402,311409) = 7
LCM(311402,311409) = ( 311402 × 311409) / 7
LCM(311402,311409) = 96973385418 / 7
LCM(311402,311409) = 13853340774

Properties of LCM 311402 and 311409

(i) The LCM of 311409 and 311402 is associative

LCM of 311402 and 311409 = LCM of 311409 and 311402

Related Least Common Multiples of 311402

Related Least Common Multiples of 311409

Frequently Asked Questions on LCM of 311402 and 311409

1. What is the LCM of 311402 and 311409?

Answer: LCM of 311402 and 311409 is 13853340774.

2. What are the Factors of 311402?

Answer: Factors of 311402 are 1, 2, 7, 13, 14, 26, 29, 58, 59, 91, 118, 182, 203, 377, 406, 413, 754, 767, 826, 1534, 1711, 2639, 3422, 5278, 5369, 10738, 11977, 22243, 23954, 44486, 155701, 311402. There are 32 integers that are factors of 311402. The greatest factor of 311402 is 311402.

3. What are the Factors of 311409?

Answer: Factors of 311409 are 1, 3, 7, 9, 21, 63, 4943, 14829, 34601, 44487, 103803, 311409. There are 12 integers that are factors of 311409. The greatest factor of 311409 is 311409.

4. How to Find the LCM of 311402 and 311409?

Answer:

Least Common Multiple of 311402 and 311409 = 13853340774

Step 1: Find the prime factorization of 311402

311402 = 2 x 7 x 13 x 29 x 59

Step 2: Find the prime factorization of 311409

311409 = 3 x 3 x 7 x 4943

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

LCM = 13853340774 = 2 x 3 x 3 x 7 x 13 x 29 x 59 x 4943

Step 4: Therefore, the least common multiple of 311402 and 311409 is 13853340774.