Least Common Multiple of 311402 and 311406

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 311406 the smallest integer that is 48486225606 that is divisible by both numbers.

Least Common Multiple (LCM) of 311402 and 311406 is 48486225606.

LCM(311402,311406) = 48486225606

LCM of 311402 and 311406

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

LCM of:
and

Least Common Multiple of 311402 and 311406

LCM of 311402 and 311406 is 48486225606

Least common multiple can be found by multiplying the highest exponent prime factors of 311402 and 311406. First we will calculate the prime factors of 311402 and 311406.

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 311406


2 311406
3 155703
17 51901
43 3053
71 71
1

Prime factors of 311406 are 2, 3, 17, 43,71. Prime factorization of 311406 in exponential form is:

311406 = 21×31×171×431×711

Now multiplying the highest exponent prime factors to calculate the LCM of 311402 and 311406.

LCM(311402,311406) = 21×31×71×131×171×291×431×591×711
LCM(311402,311406) = 48486225606

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 311406

List of positive integer factors of 311406 that divides 311406 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 71, 86, 102, 129, 142, 213, 258, 426, 731, 1207, 1462, 2193, 2414, 3053, 3621, 4386, 6106, 7242, 9159, 18318, 51901, 103802, 155703, 311406

Least Common Multiple of 311402 and 311406 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 311406, than apply into the LCM equation.

GCF(311402,311406) = 2
LCM(311402,311406) = ( 311402 × 311406) / 2
LCM(311402,311406) = 96972451212 / 2
LCM(311402,311406) = 48486225606

Properties of LCM 311402 and 311406

(i) The LCM of 311406 and 311402 is associative

LCM of 311402 and 311406 = LCM of 311406 and 311402

Related Least Common Multiples of 311402

Related Least Common Multiples of 311406

Frequently Asked Questions on LCM of 311402 and 311406

1. What is the LCM of 311402 and 311406?

Answer: LCM of 311402 and 311406 is 48486225606.

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 311406?

Answer: Factors of 311406 are 1, 2, 3, 6, 17, 34, 43, 51, 71, 86, 102, 129, 142, 213, 258, 426, 731, 1207, 1462, 2193, 2414, 3053, 3621, 4386, 6106, 7242, 9159, 18318, 51901, 103802, 155703, 311406. There are 32 integers that are factors of 311406. The greatest factor of 311406 is 311406.

4. How to Find the LCM of 311402 and 311406?

Answer:

Least Common Multiple of 311402 and 311406 = 48486225606

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 311406

311406 = 2 x 3 x 17 x 43 x 71

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

LCM = 48486225606 = 2 x 3 x 7 x 13 x 17 x 29 x 43 x 59 x 71

Step 4: Therefore, the least common multiple of 311402 and 311406 is 48486225606.