Least Common Multiple of 5118 and 5125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5118 and 5125 the smallest integer that is 26229750 that is divisible by both numbers.

Least Common Multiple (LCM) of 5118 and 5125 is 26229750.

LCM(5118,5125) = 26229750

LCM of 5118 and 5125

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

LCM of:
and

Least Common Multiple of 5118 and 5125

LCM of 5118 and 5125 is 26229750

Least common multiple can be found by multiplying the highest exponent prime factors of 5118 and 5125. First we will calculate the prime factors of 5118 and 5125.

Prime Factorization of 5118


2 5118
3 2559
853 853
1

Prime factors of 5118 are 2, 3,853. Prime factorization of 5118 in exponential form is:

5118 = 21×31×8531

Prime Factorization of 5125


5 5125
5 1025
5 205
41 41
1

Prime factors of 5125 are 5,41. Prime factorization of 5125 in exponential form is:

5125 = 53×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5118 and 5125.

LCM(5118,5125) = 21×31×53×411×8531
LCM(5118,5125) = 26229750

Factors of 5118

List of positive integer factors of 5118 that divides 5118 without a remainder.

1, 2, 3, 6, 853, 1706, 2559, 5118

Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1, 5, 25, 41, 125, 205, 1025, 5125

Least Common Multiple of 5118 and 5125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5118 and 5125, than apply into the LCM equation.

GCF(5118,5125) = 1
LCM(5118,5125) = ( 5118 × 5125) / 1
LCM(5118,5125) = 26229750 / 1
LCM(5118,5125) = 26229750

Properties of LCM 5118 and 5125

(i) The LCM of 5125 and 5118 is associative

LCM of 5118 and 5125 = LCM of 5125 and 5118

Related Least Common Multiples of 5118

Related Least Common Multiples of 5125

Frequently Asked Questions on LCM of 5118 and 5125

1. What is the LCM of 5118 and 5125?

Answer: LCM of 5118 and 5125 is 26229750.

2. What are the Factors of 5118?

Answer: Factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118. There are 8 integers that are factors of 5118. The greatest factor of 5118 is 5118.

3. What are the Factors of 5125?

Answer: Factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125. There are 8 integers that are factors of 5125. The greatest factor of 5125 is 5125.

4. How to Find the LCM of 5118 and 5125?

Answer:

Least Common Multiple of 5118 and 5125 = 26229750

Step 1: Find the prime factorization of 5118

5118 = 2 x 3 x 853

Step 2: Find the prime factorization of 5125

5125 = 5 x 5 x 5 x 41

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

LCM = 26229750 = 2 x 3 x 5 x 5 x 5 x 41 x 853

Step 4: Therefore, the least common multiple of 5118 and 5125 is 26229750.