Least Common Multiple of 311440 and 311443

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 311443 the smallest integer that is 96995807920 that is divisible by both numbers.

Least Common Multiple (LCM) of 311440 and 311443 is 96995807920.

LCM(311440,311443) = 96995807920

LCM of 311440 and 311443

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

LCM of:
and

Least Common Multiple of 311440 and 311443

LCM of 311440 and 311443 is 96995807920

Least common multiple can be found by multiplying the highest exponent prime factors of 311440 and 311443. First we will calculate the prime factors of 311440 and 311443.

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 311443


11 311443
23 28313
1231 1231
1

Prime factors of 311443 are 11, 23,1231. Prime factorization of 311443 in exponential form is:

311443 = 111×231×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 311440 and 311443.

LCM(311440,311443) = 24×51×111×171×231×2291×12311
LCM(311440,311443) = 96995807920

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 311443

List of positive integer factors of 311443 that divides 311443 without a remainder.

1, 11, 23, 253, 1231, 13541, 28313, 311443

Least Common Multiple of 311440 and 311443 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 311443, than apply into the LCM equation.

GCF(311440,311443) = 1
LCM(311440,311443) = ( 311440 × 311443) / 1
LCM(311440,311443) = 96995807920 / 1
LCM(311440,311443) = 96995807920

Properties of LCM 311440 and 311443

(i) The LCM of 311443 and 311440 is associative

LCM of 311440 and 311443 = LCM of 311443 and 311440

Related Least Common Multiples of 311440

Related Least Common Multiples of 311443

Frequently Asked Questions on LCM of 311440 and 311443

1. What is the LCM of 311440 and 311443?

Answer: LCM of 311440 and 311443 is 96995807920.

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 311443?

Answer: Factors of 311443 are 1, 11, 23, 253, 1231, 13541, 28313, 311443. There are 8 integers that are factors of 311443. The greatest factor of 311443 is 311443.

4. How to Find the LCM of 311440 and 311443?

Answer:

Least Common Multiple of 311440 and 311443 = 96995807920

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 311443

311443 = 11 x 23 x 1231

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

LCM = 96995807920 = 2 x 2 x 2 x 2 x 5 x 11 x 17 x 23 x 229 x 1231

Step 4: Therefore, the least common multiple of 311440 and 311443 is 96995807920.