Least Common Multiple of 311402 and 311410

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 311410 the smallest integer that is 48486848410 that is divisible by both numbers.

Least Common Multiple (LCM) of 311402 and 311410 is 48486848410.

LCM(311402,311410) = 48486848410

LCM of 311402 and 311410

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

LCM of:
and

Least Common Multiple of 311402 and 311410

LCM of 311402 and 311410 is 48486848410

Least common multiple can be found by multiplying the highest exponent prime factors of 311402 and 311410. First we will calculate the prime factors of 311402 and 311410.

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 311410


2 311410
5 155705
11 31141
19 2831
149 149
1

Prime factors of 311410 are 2, 5, 11, 19,149. Prime factorization of 311410 in exponential form is:

311410 = 21×51×111×191×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 311402 and 311410.

LCM(311402,311410) = 21×51×71×111×131×191×291×591×1491
LCM(311402,311410) = 48486848410

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 311410

List of positive integer factors of 311410 that divides 311410 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 149, 190, 209, 298, 418, 745, 1045, 1490, 1639, 2090, 2831, 3278, 5662, 8195, 14155, 16390, 28310, 31141, 62282, 155705, 311410

Least Common Multiple of 311402 and 311410 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 311410, than apply into the LCM equation.

GCF(311402,311410) = 2
LCM(311402,311410) = ( 311402 × 311410) / 2
LCM(311402,311410) = 96973696820 / 2
LCM(311402,311410) = 48486848410

Properties of LCM 311402 and 311410

(i) The LCM of 311410 and 311402 is associative

LCM of 311402 and 311410 = LCM of 311410 and 311402

Related Least Common Multiples of 311402

Related Least Common Multiples of 311410

Frequently Asked Questions on LCM of 311402 and 311410

1. What is the LCM of 311402 and 311410?

Answer: LCM of 311402 and 311410 is 48486848410.

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 311410?

Answer: Factors of 311410 are 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 149, 190, 209, 298, 418, 745, 1045, 1490, 1639, 2090, 2831, 3278, 5662, 8195, 14155, 16390, 28310, 31141, 62282, 155705, 311410. There are 32 integers that are factors of 311410. The greatest factor of 311410 is 311410.

4. How to Find the LCM of 311402 and 311410?

Answer:

Least Common Multiple of 311402 and 311410 = 48486848410

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 311410

311410 = 2 x 5 x 11 x 19 x 149

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

LCM = 48486848410 = 2 x 5 x 7 x 11 x 13 x 19 x 29 x 59 x 149

Step 4: Therefore, the least common multiple of 311402 and 311410 is 48486848410.