Least Common Multiple of 125 and 130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 125 and 130 the smallest integer that is 3250 that is divisible by both numbers.

Least Common Multiple (LCM) of 125 and 130 is 3250.

LCM(125,130) = 3250

LCM of 125 and 130

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

LCM of:
and

Least Common Multiple of 125 and 130

LCM of 125 and 130 is 3250

Least common multiple can be found by multiplying the highest exponent prime factors of 125 and 130. First we will calculate the prime factors of 125 and 130.

Prime Factorization of 125


5 125
5 25
5 5
1

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 53

Prime Factorization of 130


2 130
5 65
13 13
1

Prime factors of 130 are 2, 5,13. Prime factorization of 130 in exponential form is:

130 = 21×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 125 and 130.

LCM(125,130) = 21×53×131
LCM(125,130) = 3250

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Least Common Multiple of 125 and 130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 125 and 130, than apply into the LCM equation.

GCF(125,130) = 5
LCM(125,130) = ( 125 × 130) / 5
LCM(125,130) = 16250 / 5
LCM(125,130) = 3250

Properties of LCM 125 and 130

(i) The LCM of 130 and 125 is associative

LCM of 125 and 130 = LCM of 130 and 125

Related Least Common Multiples of 125

Related Least Common Multiples of 130

Frequently Asked Questions on LCM of 125 and 130

1. What is the LCM of 125 and 130?

Answer: LCM of 125 and 130 is 3250.

2. What are the Factors of 125?

Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.

3. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

4. How to Find the LCM of 125 and 130?

Answer:

Least Common Multiple of 125 and 130 = 3250

Step 1: Find the prime factorization of 125

125 = 5 x 5 x 5

Step 2: Find the prime factorization of 130

130 = 2 x 5 x 13

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

LCM = 3250 = 2 x 5 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 125 and 130 is 3250.