Least Common Multiple of 4125 and 4130

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 4130 the smallest integer that is 3407250 that is divisible by both numbers.

Least Common Multiple (LCM) of 4125 and 4130 is 3407250.

LCM(4125,4130) = 3407250

LCM of 4125 and 4130

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

LCM of:
and

Least Common Multiple of 4125 and 4130

LCM of 4125 and 4130 is 3407250

Least common multiple can be found by multiplying the highest exponent prime factors of 4125 and 4130. First we will calculate the prime factors of 4125 and 4130.

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 4130


2 4130
5 2065
7 413
59 59
1

Prime factors of 4130 are 2, 5, 7,59. Prime factorization of 4130 in exponential form is:

4130 = 21×51×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4125 and 4130.

LCM(4125,4130) = 21×31×53×71×111×591
LCM(4125,4130) = 3407250

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 4130

List of positive integer factors of 4130 that divides 4130 without a remainder.

1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130

Least Common Multiple of 4125 and 4130 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 4130, than apply into the LCM equation.

GCF(4125,4130) = 5
LCM(4125,4130) = ( 4125 × 4130) / 5
LCM(4125,4130) = 17036250 / 5
LCM(4125,4130) = 3407250

Properties of LCM 4125 and 4130

(i) The LCM of 4130 and 4125 is associative

LCM of 4125 and 4130 = LCM of 4130 and 4125

Related Least Common Multiples of 4125

Related Least Common Multiples of 4130

Frequently Asked Questions on LCM of 4125 and 4130

1. What is the LCM of 4125 and 4130?

Answer: LCM of 4125 and 4130 is 3407250.

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 4130?

Answer: Factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130. There are 16 integers that are factors of 4130. The greatest factor of 4130 is 4130.

4. How to Find the LCM of 4125 and 4130?

Answer:

Least Common Multiple of 4125 and 4130 = 3407250

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 4130

4130 = 2 x 5 x 7 x 59

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

LCM = 3407250 = 2 x 3 x 5 x 5 x 5 x 7 x 11 x 59

Step 4: Therefore, the least common multiple of 4125 and 4130 is 3407250.