Least Common Multiple of 311439 and 311447

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 311447 the smallest integer that is 96996742233 that is divisible by both numbers.

Least Common Multiple (LCM) of 311439 and 311447 is 96996742233.

LCM(311439,311447) = 96996742233

LCM of 311439 and 311447

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

LCM of:
and

Least Common Multiple of 311439 and 311447

LCM of 311439 and 311447 is 96996742233

Least common multiple can be found by multiplying the highest exponent prime factors of 311439 and 311447. First we will calculate the prime factors of 311439 and 311447.

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 311447


311447 311447
1

Prime factors of 311447 are 311447. Prime factorization of 311447 in exponential form is:

311447 = 3114471

Now multiplying the highest exponent prime factors to calculate the LCM of 311439 and 311447.

LCM(311439,311447) = 31×1038131×3114471
LCM(311439,311447) = 96996742233

Factors of 311439

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

1, 3, 103813, 311439

Factors of 311447

List of positive integer factors of 311447 that divides 311447 without a remainder.

1, 311447

Least Common Multiple of 311439 and 311447 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 311447, than apply into the LCM equation.

GCF(311439,311447) = 1
LCM(311439,311447) = ( 311439 × 311447) / 1
LCM(311439,311447) = 96996742233 / 1
LCM(311439,311447) = 96996742233

Properties of LCM 311439 and 311447

(i) The LCM of 311447 and 311439 is associative

LCM of 311439 and 311447 = LCM of 311447 and 311439

Related Least Common Multiples of 311439

Related Least Common Multiples of 311447

Frequently Asked Questions on LCM of 311439 and 311447

1. What is the LCM of 311439 and 311447?

Answer: LCM of 311439 and 311447 is 96996742233.

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 311447?

Answer: Factors of 311447 are 1, 311447. There are 2 integers that are factors of 311447. The greatest factor of 311447 is 311447.

4. How to Find the LCM of 311439 and 311447?

Answer:

Least Common Multiple of 311439 and 311447 = 96996742233

Step 1: Find the prime factorization of 311439

311439 = 3 x 103813

Step 2: Find the prime factorization of 311447

311447 = 311447

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

LCM = 96996742233 = 3 x 103813 x 311447

Step 4: Therefore, the least common multiple of 311439 and 311447 is 96996742233.