Least Common Multiple of 311434 and 311439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311434 and 311439 the smallest integer that is 96992693526 that is divisible by both numbers.

Least Common Multiple (LCM) of 311434 and 311439 is 96992693526.

LCM(311434,311439) = 96992693526

LCM of 311434 and 311439

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

LCM of:
and

Least Common Multiple of 311434 and 311439

LCM of 311434 and 311439 is 96992693526

Least common multiple can be found by multiplying the highest exponent prime factors of 311434 and 311439. First we will calculate the prime factors of 311434 and 311439.

Prime Factorization of 311434


2 311434
155717 155717
1

Prime factors of 311434 are 2,155717. Prime factorization of 311434 in exponential form is:

311434 = 21×1557171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 311434 and 311439.

LCM(311434,311439) = 21×31×1038131×1557171
LCM(311434,311439) = 96992693526

Factors of 311434

List of positive integer factors of 311434 that divides 311434 without a remainder.

1, 2, 155717, 311434

Factors of 311439

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

1, 3, 103813, 311439

Least Common Multiple of 311434 and 311439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311434 and 311439, than apply into the LCM equation.

GCF(311434,311439) = 1
LCM(311434,311439) = ( 311434 × 311439) / 1
LCM(311434,311439) = 96992693526 / 1
LCM(311434,311439) = 96992693526

Properties of LCM 311434 and 311439

(i) The LCM of 311439 and 311434 is associative

LCM of 311434 and 311439 = LCM of 311439 and 311434

Related Least Common Multiples of 311434

Related Least Common Multiples of 311439

Frequently Asked Questions on LCM of 311434 and 311439

1. What is the LCM of 311434 and 311439?

Answer: LCM of 311434 and 311439 is 96992693526.

2. What are the Factors of 311434?

Answer: Factors of 311434 are 1, 2, 155717, 311434. There are 4 integers that are factors of 311434. The greatest factor of 311434 is 311434.

3. 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.

4. How to Find the LCM of 311434 and 311439?

Answer:

Least Common Multiple of 311434 and 311439 = 96992693526

Step 1: Find the prime factorization of 311434

311434 = 2 x 155717

Step 2: Find the prime factorization of 311439

311439 = 3 x 103813

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

LCM = 96992693526 = 2 x 3 x 103813 x 155717

Step 4: Therefore, the least common multiple of 311434 and 311439 is 96992693526.