Least Common Multiple of 311402 and 311404

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 311404 the smallest integer that is 48485914204 that is divisible by both numbers.

Least Common Multiple (LCM) of 311402 and 311404 is 48485914204.

LCM(311402,311404) = 48485914204

LCM of 311402 and 311404

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

LCM of:
and

Least Common Multiple of 311402 and 311404

LCM of 311402 and 311404 is 48485914204

Least common multiple can be found by multiplying the highest exponent prime factors of 311402 and 311404. First we will calculate the prime factors of 311402 and 311404.

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 311404


2 311404
2 155702
127 77851
613 613
1

Prime factors of 311404 are 2, 127,613. Prime factorization of 311404 in exponential form is:

311404 = 22×1271×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 311402 and 311404.

LCM(311402,311404) = 22×71×131×291×591×1271×6131
LCM(311402,311404) = 48485914204

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 311404

List of positive integer factors of 311404 that divides 311404 without a remainder.

1, 2, 4, 127, 254, 508, 613, 1226, 2452, 77851, 155702, 311404

Least Common Multiple of 311402 and 311404 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 311404, than apply into the LCM equation.

GCF(311402,311404) = 2
LCM(311402,311404) = ( 311402 × 311404) / 2
LCM(311402,311404) = 96971828408 / 2
LCM(311402,311404) = 48485914204

Properties of LCM 311402 and 311404

(i) The LCM of 311404 and 311402 is associative

LCM of 311402 and 311404 = LCM of 311404 and 311402

Related Least Common Multiples of 311402

Related Least Common Multiples of 311404

Frequently Asked Questions on LCM of 311402 and 311404

1. What is the LCM of 311402 and 311404?

Answer: LCM of 311402 and 311404 is 48485914204.

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 311404?

Answer: Factors of 311404 are 1, 2, 4, 127, 254, 508, 613, 1226, 2452, 77851, 155702, 311404. There are 12 integers that are factors of 311404. The greatest factor of 311404 is 311404.

4. How to Find the LCM of 311402 and 311404?

Answer:

Least Common Multiple of 311402 and 311404 = 48485914204

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 311404

311404 = 2 x 2 x 127 x 613

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

LCM = 48485914204 = 2 x 2 x 7 x 13 x 29 x 59 x 127 x 613

Step 4: Therefore, the least common multiple of 311402 and 311404 is 48485914204.