Least Common Multiple of 4131 and 4139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4131 and 4139 the smallest integer that is 17098209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4131 and 4139 is 17098209.

LCM(4131,4139) = 17098209

LCM of 4131 and 4139

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

LCM of:
and

Least Common Multiple of 4131 and 4139

LCM of 4131 and 4139 is 17098209

Least common multiple can be found by multiplying the highest exponent prime factors of 4131 and 4139. First we will calculate the prime factors of 4131 and 4139.

Prime Factorization of 4131


3 4131
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 4131 are 3,17. Prime factorization of 4131 in exponential form is:

4131 = 35×171

Prime Factorization of 4139


4139 4139
1

Prime factors of 4139 are 4139. Prime factorization of 4139 in exponential form is:

4139 = 41391

Now multiplying the highest exponent prime factors to calculate the LCM of 4131 and 4139.

LCM(4131,4139) = 35×171×41391
LCM(4131,4139) = 17098209

Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131

Factors of 4139

List of positive integer factors of 4139 that divides 4139 without a remainder.

1, 4139

Least Common Multiple of 4131 and 4139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4131 and 4139, than apply into the LCM equation.

GCF(4131,4139) = 1
LCM(4131,4139) = ( 4131 × 4139) / 1
LCM(4131,4139) = 17098209 / 1
LCM(4131,4139) = 17098209

Properties of LCM 4131 and 4139

(i) The LCM of 4139 and 4131 is associative

LCM of 4131 and 4139 = LCM of 4139 and 4131

Related Least Common Multiples of 4131

Related Least Common Multiples of 4139

Frequently Asked Questions on LCM of 4131 and 4139

1. What is the LCM of 4131 and 4139?

Answer: LCM of 4131 and 4139 is 17098209.

2. What are the Factors of 4131?

Answer: Factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131. There are 12 integers that are factors of 4131. The greatest factor of 4131 is 4131.

3. What are the Factors of 4139?

Answer: Factors of 4139 are 1, 4139. There are 2 integers that are factors of 4139. The greatest factor of 4139 is 4139.

4. How to Find the LCM of 4131 and 4139?

Answer:

Least Common Multiple of 4131 and 4139 = 17098209

Step 1: Find the prime factorization of 4131

4131 = 3 x 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 4139

4139 = 4139

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

LCM = 17098209 = 3 x 3 x 3 x 3 x 3 x 17 x 4139

Step 4: Therefore, the least common multiple of 4131 and 4139 is 17098209.