Least Common Multiple of 3125 and 3130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3125 and 3130 the smallest integer that is 1956250 that is divisible by both numbers.

Least Common Multiple (LCM) of 3125 and 3130 is 1956250.

LCM(3125,3130) = 1956250

LCM of 3125 and 3130

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

LCM of:
and

Least Common Multiple of 3125 and 3130

LCM of 3125 and 3130 is 1956250

Least common multiple can be found by multiplying the highest exponent prime factors of 3125 and 3130. First we will calculate the prime factors of 3125 and 3130.

Prime Factorization of 3125


5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 55

Prime Factorization of 3130


2 3130
5 1565
313 313
1

Prime factors of 3130 are 2, 5,313. Prime factorization of 3130 in exponential form is:

3130 = 21×51×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 3125 and 3130.

LCM(3125,3130) = 21×55×3131
LCM(3125,3130) = 1956250

Factors of 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1, 5, 25, 125, 625, 3125

Factors of 3130

List of positive integer factors of 3130 that divides 3130 without a remainder.

1, 2, 5, 10, 313, 626, 1565, 3130

Least Common Multiple of 3125 and 3130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3125 and 3130, than apply into the LCM equation.

GCF(3125,3130) = 5
LCM(3125,3130) = ( 3125 × 3130) / 5
LCM(3125,3130) = 9781250 / 5
LCM(3125,3130) = 1956250

Properties of LCM 3125 and 3130

(i) The LCM of 3130 and 3125 is associative

LCM of 3125 and 3130 = LCM of 3130 and 3125

Related Least Common Multiples of 3125

Related Least Common Multiples of 3130

Frequently Asked Questions on LCM of 3125 and 3130

1. What is the LCM of 3125 and 3130?

Answer: LCM of 3125 and 3130 is 1956250.

2. What are the Factors of 3125?

Answer: Factors of 3125 are 1, 5, 25, 125, 625, 3125. There are 6 integers that are factors of 3125. The greatest factor of 3125 is 3125.

3. What are the Factors of 3130?

Answer: Factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130. There are 8 integers that are factors of 3130. The greatest factor of 3130 is 3130.

4. How to Find the LCM of 3125 and 3130?

Answer:

Least Common Multiple of 3125 and 3130 = 1956250

Step 1: Find the prime factorization of 3125

3125 = 5 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 3130

3130 = 2 x 5 x 313

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

LCM = 1956250 = 2 x 5 x 5 x 5 x 5 x 5 x 313

Step 4: Therefore, the least common multiple of 3125 and 3130 is 1956250.