Least Common Multiple of 4331 and 4339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4331 and 4339 the smallest integer that is 18792209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4331 and 4339 is 18792209.

LCM(4331,4339) = 18792209

LCM of 4331 and 4339

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

LCM of:
and

Least Common Multiple of 4331 and 4339

LCM of 4331 and 4339 is 18792209

Least common multiple can be found by multiplying the highest exponent prime factors of 4331 and 4339. First we will calculate the prime factors of 4331 and 4339.

Prime Factorization of 4331


61 4331
71 71
1

Prime factors of 4331 are 61,71. Prime factorization of 4331 in exponential form is:

4331 = 611×711

Prime Factorization of 4339


4339 4339
1

Prime factors of 4339 are 4339. Prime factorization of 4339 in exponential form is:

4339 = 43391

Now multiplying the highest exponent prime factors to calculate the LCM of 4331 and 4339.

LCM(4331,4339) = 611×711×43391
LCM(4331,4339) = 18792209

Factors of 4331

List of positive integer factors of 4331 that divides 4331 without a remainder.

1, 61, 71, 4331

Factors of 4339

List of positive integer factors of 4339 that divides 4339 without a remainder.

1, 4339

Least Common Multiple of 4331 and 4339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4331 and 4339, than apply into the LCM equation.

GCF(4331,4339) = 1
LCM(4331,4339) = ( 4331 × 4339) / 1
LCM(4331,4339) = 18792209 / 1
LCM(4331,4339) = 18792209

Properties of LCM 4331 and 4339

(i) The LCM of 4339 and 4331 is associative

LCM of 4331 and 4339 = LCM of 4339 and 4331

Related Least Common Multiples of 4331

Related Least Common Multiples of 4339

Frequently Asked Questions on LCM of 4331 and 4339

1. What is the LCM of 4331 and 4339?

Answer: LCM of 4331 and 4339 is 18792209.

2. What are the Factors of 4331?

Answer: Factors of 4331 are 1, 61, 71, 4331. There are 4 integers that are factors of 4331. The greatest factor of 4331 is 4331.

3. What are the Factors of 4339?

Answer: Factors of 4339 are 1, 4339. There are 2 integers that are factors of 4339. The greatest factor of 4339 is 4339.

4. How to Find the LCM of 4331 and 4339?

Answer:

Least Common Multiple of 4331 and 4339 = 18792209

Step 1: Find the prime factorization of 4331

4331 = 61 x 71

Step 2: Find the prime factorization of 4339

4339 = 4339

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

LCM = 18792209 = 61 x 71 x 4339

Step 4: Therefore, the least common multiple of 4331 and 4339 is 18792209.