Least Common Multiple of 4124 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 4124 and 4131 the smallest integer that is 17036244 that is divisible by both numbers.

Least Common Multiple (LCM) of 4124 and 4131 is 17036244.

LCM(4124,4131) = 17036244

LCM of 4124 and 4131

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

LCM of:
and

Least Common Multiple of 4124 and 4131

LCM of 4124 and 4131 is 17036244

Least common multiple can be found by multiplying the highest exponent prime factors of 4124 and 4131. First we will calculate the prime factors of 4124 and 4131.

Prime Factorization of 4124


2 4124
2 2062
1031 1031
1

Prime factors of 4124 are 2,1031. Prime factorization of 4124 in exponential form is:

4124 = 22×10311

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 4124 and 4131.

LCM(4124,4131) = 22×35×171×10311
LCM(4124,4131) = 17036244

Factors of 4124

List of positive integer factors of 4124 that divides 4124 without a remainder.

1, 2, 4, 1031, 2062, 4124

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 4124 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 4124 and 4131, than apply into the LCM equation.

GCF(4124,4131) = 1
LCM(4124,4131) = ( 4124 × 4131) / 1
LCM(4124,4131) = 17036244 / 1
LCM(4124,4131) = 17036244

Properties of LCM 4124 and 4131

(i) The LCM of 4131 and 4124 is associative

LCM of 4124 and 4131 = LCM of 4131 and 4124

Related Least Common Multiples of 4124

Related Least Common Multiples of 4131

Frequently Asked Questions on LCM of 4124 and 4131

1. What is the LCM of 4124 and 4131?

Answer: LCM of 4124 and 4131 is 17036244.

2. What are the Factors of 4124?

Answer: Factors of 4124 are 1, 2, 4, 1031, 2062, 4124. There are 6 integers that are factors of 4124. The greatest factor of 4124 is 4124.

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 4124 and 4131?

Answer:

Least Common Multiple of 4124 and 4131 = 17036244

Step 1: Find the prime factorization of 4124

4124 = 2 x 2 x 1031

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 = 17036244 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 17 x 1031

Step 4: Therefore, the least common multiple of 4124 and 4131 is 17036244.