Least Common Multiple of 311440 and 311445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311440 and 311445 the smallest integer that is 19399286160 that is divisible by both numbers.

Least Common Multiple (LCM) of 311440 and 311445 is 19399286160.

LCM(311440,311445) = 19399286160

LCM of 311440 and 311445

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

LCM of:
and

Least Common Multiple of 311440 and 311445

LCM of 311440 and 311445 is 19399286160

Least common multiple can be found by multiplying the highest exponent prime factors of 311440 and 311445. First we will calculate the prime factors of 311440 and 311445.

Prime Factorization of 311440


2 311440
2 155720
2 77860
2 38930
5 19465
17 3893
229 229
1

Prime factors of 311440 are 2, 5, 17,229. Prime factorization of 311440 in exponential form is:

311440 = 24×51×171×2291

Prime Factorization of 311445


3 311445
3 103815
3 34605
3 11535
5 3845
769 769
1

Prime factors of 311445 are 3, 5,769. Prime factorization of 311445 in exponential form is:

311445 = 34×51×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 311440 and 311445.

LCM(311440,311445) = 24×34×51×171×2291×7691
LCM(311440,311445) = 19399286160

Factors of 311440

List of positive integer factors of 311440 that divides 311440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 229, 272, 340, 458, 680, 916, 1145, 1360, 1832, 2290, 3664, 3893, 4580, 7786, 9160, 15572, 18320, 19465, 31144, 38930, 62288, 77860, 155720, 311440

Factors of 311445

List of positive integer factors of 311445 that divides 311445 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405, 769, 2307, 3845, 6921, 11535, 20763, 34605, 62289, 103815, 311445

Least Common Multiple of 311440 and 311445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311440 and 311445, than apply into the LCM equation.

GCF(311440,311445) = 5
LCM(311440,311445) = ( 311440 × 311445) / 5
LCM(311440,311445) = 96996430800 / 5
LCM(311440,311445) = 19399286160

Properties of LCM 311440 and 311445

(i) The LCM of 311445 and 311440 is associative

LCM of 311440 and 311445 = LCM of 311445 and 311440

Related Least Common Multiples of 311440

Related Least Common Multiples of 311445

Frequently Asked Questions on LCM of 311440 and 311445

1. What is the LCM of 311440 and 311445?

Answer: LCM of 311440 and 311445 is 19399286160.

2. What are the Factors of 311440?

Answer: Factors of 311440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 229, 272, 340, 458, 680, 916, 1145, 1360, 1832, 2290, 3664, 3893, 4580, 7786, 9160, 15572, 18320, 19465, 31144, 38930, 62288, 77860, 155720, 311440. There are 40 integers that are factors of 311440. The greatest factor of 311440 is 311440.

3. What are the Factors of 311445?

Answer: Factors of 311445 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405, 769, 2307, 3845, 6921, 11535, 20763, 34605, 62289, 103815, 311445. There are 20 integers that are factors of 311445. The greatest factor of 311445 is 311445.

4. How to Find the LCM of 311440 and 311445?

Answer:

Least Common Multiple of 311440 and 311445 = 19399286160

Step 1: Find the prime factorization of 311440

311440 = 2 x 2 x 2 x 2 x 5 x 17 x 229

Step 2: Find the prime factorization of 311445

311445 = 3 x 3 x 3 x 3 x 5 x 769

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

LCM = 19399286160 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 x 229 x 769

Step 4: Therefore, the least common multiple of 311440 and 311445 is 19399286160.