Least Common Multiple of 311402 and 311408

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 311408 the smallest integer that is 48486537008 that is divisible by both numbers.

Least Common Multiple (LCM) of 311402 and 311408 is 48486537008.

LCM(311402,311408) = 48486537008

LCM of 311402 and 311408

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

LCM of:
and

Least Common Multiple of 311402 and 311408

LCM of 311402 and 311408 is 48486537008

Least common multiple can be found by multiplying the highest exponent prime factors of 311402 and 311408. First we will calculate the prime factors of 311402 and 311408.

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 311408


2 311408
2 155704
2 77852
2 38926
19463 19463
1

Prime factors of 311408 are 2,19463. Prime factorization of 311408 in exponential form is:

311408 = 24×194631

Now multiplying the highest exponent prime factors to calculate the LCM of 311402 and 311408.

LCM(311402,311408) = 24×71×131×291×591×194631
LCM(311402,311408) = 48486537008

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 311408

List of positive integer factors of 311408 that divides 311408 without a remainder.

1, 2, 4, 8, 16, 19463, 38926, 77852, 155704, 311408

Least Common Multiple of 311402 and 311408 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 311408, than apply into the LCM equation.

GCF(311402,311408) = 2
LCM(311402,311408) = ( 311402 × 311408) / 2
LCM(311402,311408) = 96973074016 / 2
LCM(311402,311408) = 48486537008

Properties of LCM 311402 and 311408

(i) The LCM of 311408 and 311402 is associative

LCM of 311402 and 311408 = LCM of 311408 and 311402

Related Least Common Multiples of 311402

Related Least Common Multiples of 311408

Frequently Asked Questions on LCM of 311402 and 311408

1. What is the LCM of 311402 and 311408?

Answer: LCM of 311402 and 311408 is 48486537008.

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 311408?

Answer: Factors of 311408 are 1, 2, 4, 8, 16, 19463, 38926, 77852, 155704, 311408. There are 10 integers that are factors of 311408. The greatest factor of 311408 is 311408.

4. How to Find the LCM of 311402 and 311408?

Answer:

Least Common Multiple of 311402 and 311408 = 48486537008

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 311408

311408 = 2 x 2 x 2 x 2 x 19463

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

LCM = 48486537008 = 2 x 2 x 2 x 2 x 7 x 13 x 29 x 59 x 19463

Step 4: Therefore, the least common multiple of 311402 and 311408 is 48486537008.