Least Common Multiple of 4131 and 4138

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 4138 the smallest integer that is 17094078 that is divisible by both numbers.

Least Common Multiple (LCM) of 4131 and 4138 is 17094078.

LCM(4131,4138) = 17094078

LCM of 4131 and 4138

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

LCM of:
and

Least Common Multiple of 4131 and 4138

LCM of 4131 and 4138 is 17094078

Least common multiple can be found by multiplying the highest exponent prime factors of 4131 and 4138. First we will calculate the prime factors of 4131 and 4138.

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 4138


2 4138
2069 2069
1

Prime factors of 4138 are 2,2069. Prime factorization of 4138 in exponential form is:

4138 = 21×20691

Now multiplying the highest exponent prime factors to calculate the LCM of 4131 and 4138.

LCM(4131,4138) = 21×35×171×20691
LCM(4131,4138) = 17094078

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 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1, 2, 2069, 4138

Least Common Multiple of 4131 and 4138 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 4138, than apply into the LCM equation.

GCF(4131,4138) = 1
LCM(4131,4138) = ( 4131 × 4138) / 1
LCM(4131,4138) = 17094078 / 1
LCM(4131,4138) = 17094078

Properties of LCM 4131 and 4138

(i) The LCM of 4138 and 4131 is associative

LCM of 4131 and 4138 = LCM of 4138 and 4131

Related Least Common Multiples of 4131

Related Least Common Multiples of 4138

Frequently Asked Questions on LCM of 4131 and 4138

1. What is the LCM of 4131 and 4138?

Answer: LCM of 4131 and 4138 is 17094078.

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 4138?

Answer: Factors of 4138 are 1, 2, 2069, 4138. There are 4 integers that are factors of 4138. The greatest factor of 4138 is 4138.

4. How to Find the LCM of 4131 and 4138?

Answer:

Least Common Multiple of 4131 and 4138 = 17094078

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 4138

4138 = 2 x 2069

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

LCM = 17094078 = 2 x 3 x 3 x 3 x 3 x 3 x 17 x 2069

Step 4: Therefore, the least common multiple of 4131 and 4138 is 17094078.