Least Common Multiple of 4125 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 4125 and 4131 the smallest integer that is 5680125 that is divisible by both numbers.

Least Common Multiple (LCM) of 4125 and 4131 is 5680125.

LCM(4125,4131) = 5680125

LCM of 4125 and 4131

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

LCM of:
and

Least Common Multiple of 4125 and 4131

LCM of 4125 and 4131 is 5680125

Least common multiple can be found by multiplying the highest exponent prime factors of 4125 and 4131. First we will calculate the prime factors of 4125 and 4131.

Prime Factorization of 4125


3 4125
5 1375
5 275
5 55
11 11
1

Prime factors of 4125 are 3, 5,11. Prime factorization of 4125 in exponential form is:

4125 = 31×53×111

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 4125 and 4131.

LCM(4125,4131) = 35×53×111×171
LCM(4125,4131) = 5680125

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125

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 4125 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 4125 and 4131, than apply into the LCM equation.

GCF(4125,4131) = 3
LCM(4125,4131) = ( 4125 × 4131) / 3
LCM(4125,4131) = 17040375 / 3
LCM(4125,4131) = 5680125

Properties of LCM 4125 and 4131

(i) The LCM of 4131 and 4125 is associative

LCM of 4125 and 4131 = LCM of 4131 and 4125

Related Least Common Multiples of 4125

Related Least Common Multiples of 4131

Frequently Asked Questions on LCM of 4125 and 4131

1. What is the LCM of 4125 and 4131?

Answer: LCM of 4125 and 4131 is 5680125.

2. What are the Factors of 4125?

Answer: Factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125. There are 16 integers that are factors of 4125. The greatest factor of 4125 is 4125.

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 4125 and 4131?

Answer:

Least Common Multiple of 4125 and 4131 = 5680125

Step 1: Find the prime factorization of 4125

4125 = 3 x 5 x 5 x 5 x 11

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 = 5680125 = 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 4125 and 4131 is 5680125.