Least Common Multiple of 311439 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 311439 and 311445 the smallest integer that is 32332039785 that is divisible by both numbers.

Least Common Multiple (LCM) of 311439 and 311445 is 32332039785.

LCM(311439,311445) = 32332039785

LCM of 311439 and 311445

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

LCM of:
and

Least Common Multiple of 311439 and 311445

LCM of 311439 and 311445 is 32332039785

Least common multiple can be found by multiplying the highest exponent prime factors of 311439 and 311445. First we will calculate the prime factors of 311439 and 311445.

Prime Factorization of 311439


3 311439
103813 103813
1

Prime factors of 311439 are 3,103813. Prime factorization of 311439 in exponential form is:

311439 = 31×1038131

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 311439 and 311445.

LCM(311439,311445) = 34×51×7691×1038131
LCM(311439,311445) = 32332039785

Factors of 311439

List of positive integer factors of 311439 that divides 311439 without a remainder.

1, 3, 103813, 311439

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 311439 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 311439 and 311445, than apply into the LCM equation.

GCF(311439,311445) = 3
LCM(311439,311445) = ( 311439 × 311445) / 3
LCM(311439,311445) = 96996119355 / 3
LCM(311439,311445) = 32332039785

Properties of LCM 311439 and 311445

(i) The LCM of 311445 and 311439 is associative

LCM of 311439 and 311445 = LCM of 311445 and 311439

Related Least Common Multiples of 311439

Related Least Common Multiples of 311445

Frequently Asked Questions on LCM of 311439 and 311445

1. What is the LCM of 311439 and 311445?

Answer: LCM of 311439 and 311445 is 32332039785.

2. What are the Factors of 311439?

Answer: Factors of 311439 are 1, 3, 103813, 311439. There are 4 integers that are factors of 311439. The greatest factor of 311439 is 311439.

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 311439 and 311445?

Answer:

Least Common Multiple of 311439 and 311445 = 32332039785

Step 1: Find the prime factorization of 311439

311439 = 3 x 103813

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 = 32332039785 = 3 x 3 x 3 x 3 x 5 x 769 x 103813

Step 4: Therefore, the least common multiple of 311439 and 311445 is 32332039785.