Least Common Multiple of 4125 and 4129

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 4129 the smallest integer that is 17032125 that is divisible by both numbers.

Least Common Multiple (LCM) of 4125 and 4129 is 17032125.

LCM(4125,4129) = 17032125

LCM of 4125 and 4129

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

LCM of:
and

Least Common Multiple of 4125 and 4129

LCM of 4125 and 4129 is 17032125

Least common multiple can be found by multiplying the highest exponent prime factors of 4125 and 4129. First we will calculate the prime factors of 4125 and 4129.

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 4129


4129 4129
1

Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:

4129 = 41291

Now multiplying the highest exponent prime factors to calculate the LCM of 4125 and 4129.

LCM(4125,4129) = 31×53×111×41291
LCM(4125,4129) = 17032125

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 4129

List of positive integer factors of 4129 that divides 4129 without a remainder.

1, 4129

Least Common Multiple of 4125 and 4129 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 4129, than apply into the LCM equation.

GCF(4125,4129) = 1
LCM(4125,4129) = ( 4125 × 4129) / 1
LCM(4125,4129) = 17032125 / 1
LCM(4125,4129) = 17032125

Properties of LCM 4125 and 4129

(i) The LCM of 4129 and 4125 is associative

LCM of 4125 and 4129 = LCM of 4129 and 4125

Related Least Common Multiples of 4125

Related Least Common Multiples of 4129

Frequently Asked Questions on LCM of 4125 and 4129

1. What is the LCM of 4125 and 4129?

Answer: LCM of 4125 and 4129 is 17032125.

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 4129?

Answer: Factors of 4129 are 1, 4129. There are 2 integers that are factors of 4129. The greatest factor of 4129 is 4129.

4. How to Find the LCM of 4125 and 4129?

Answer:

Least Common Multiple of 4125 and 4129 = 17032125

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 4129

4129 = 4129

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

LCM = 17032125 = 3 x 5 x 5 x 5 x 11 x 4129

Step 4: Therefore, the least common multiple of 4125 and 4129 is 17032125.