Least Common Multiple of 3125 and 3133

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 3133 the smallest integer that is 9790625 that is divisible by both numbers.

Least Common Multiple (LCM) of 3125 and 3133 is 9790625.

LCM(3125,3133) = 9790625

LCM of 3125 and 3133

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

LCM of:
and

Least Common Multiple of 3125 and 3133

LCM of 3125 and 3133 is 9790625

Least common multiple can be found by multiplying the highest exponent prime factors of 3125 and 3133. First we will calculate the prime factors of 3125 and 3133.

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 3133


13 3133
241 241
1

Prime factors of 3133 are 13,241. Prime factorization of 3133 in exponential form is:

3133 = 131×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 3125 and 3133.

LCM(3125,3133) = 55×131×2411
LCM(3125,3133) = 9790625

Factors of 3125

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

1, 5, 25, 125, 625, 3125

Factors of 3133

List of positive integer factors of 3133 that divides 3133 without a remainder.

1, 13, 241, 3133

Least Common Multiple of 3125 and 3133 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 3133, than apply into the LCM equation.

GCF(3125,3133) = 1
LCM(3125,3133) = ( 3125 × 3133) / 1
LCM(3125,3133) = 9790625 / 1
LCM(3125,3133) = 9790625

Properties of LCM 3125 and 3133

(i) The LCM of 3133 and 3125 is associative

LCM of 3125 and 3133 = LCM of 3133 and 3125

Related Least Common Multiples of 3125

Related Least Common Multiples of 3133

Frequently Asked Questions on LCM of 3125 and 3133

1. What is the LCM of 3125 and 3133?

Answer: LCM of 3125 and 3133 is 9790625.

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 3133?

Answer: Factors of 3133 are 1, 13, 241, 3133. There are 4 integers that are factors of 3133. The greatest factor of 3133 is 3133.

4. How to Find the LCM of 3125 and 3133?

Answer:

Least Common Multiple of 3125 and 3133 = 9790625

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 3133

3133 = 13 x 241

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

LCM = 9790625 = 5 x 5 x 5 x 5 x 5 x 13 x 241

Step 4: Therefore, the least common multiple of 3125 and 3133 is 9790625.