Least Common Multiple of 4126 and 4131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4126 and 4131 the smallest integer that is 17044506 that is divisible by both numbers.

Least Common Multiple (LCM) of 4126 and 4131 is 17044506.

LCM(4126,4131) = 17044506

LCM of 4126 and 4131

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

LCM of:
and

Least Common Multiple of 4126 and 4131

LCM of 4126 and 4131 is 17044506

Least common multiple can be found by multiplying the highest exponent prime factors of 4126 and 4131. First we will calculate the prime factors of 4126 and 4131.

Prime Factorization of 4126


2 4126
2063 2063
1

Prime factors of 4126 are 2,2063. Prime factorization of 4126 in exponential form is:

4126 = 21×20631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4126 and 4131.

LCM(4126,4131) = 21×35×171×20631
LCM(4126,4131) = 17044506

Factors of 4126

List of positive integer factors of 4126 that divides 4126 without a remainder.

1, 2, 2063, 4126

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

Least Common Multiple of 4126 and 4131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4126 and 4131, than apply into the LCM equation.

GCF(4126,4131) = 1
LCM(4126,4131) = ( 4126 × 4131) / 1
LCM(4126,4131) = 17044506 / 1
LCM(4126,4131) = 17044506

Properties of LCM 4126 and 4131

(i) The LCM of 4131 and 4126 is associative

LCM of 4126 and 4131 = LCM of 4131 and 4126

Related Least Common Multiples of 4126

Related Least Common Multiples of 4131

Frequently Asked Questions on LCM of 4126 and 4131

1. What is the LCM of 4126 and 4131?

Answer: LCM of 4126 and 4131 is 17044506.

2. What are the Factors of 4126?

Answer: Factors of 4126 are 1, 2, 2063, 4126. There are 4 integers that are factors of 4126. The greatest factor of 4126 is 4126.

3. 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.

4. How to Find the LCM of 4126 and 4131?

Answer:

Least Common Multiple of 4126 and 4131 = 17044506

Step 1: Find the prime factorization of 4126

4126 = 2 x 2063

Step 2: Find the prime factorization of 4131

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

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

LCM = 17044506 = 2 x 3 x 3 x 3 x 3 x 3 x 17 x 2063

Step 4: Therefore, the least common multiple of 4126 and 4131 is 17044506.