Least Common Multiple of 5075 and 5079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5075 and 5079 the smallest integer that is 25775925 that is divisible by both numbers.

Least Common Multiple (LCM) of 5075 and 5079 is 25775925.

LCM(5075,5079) = 25775925

LCM of 5075 and 5079

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

LCM of:
and

Least Common Multiple of 5075 and 5079

LCM of 5075 and 5079 is 25775925

Least common multiple can be found by multiplying the highest exponent prime factors of 5075 and 5079. First we will calculate the prime factors of 5075 and 5079.

Prime Factorization of 5075


5 5075
5 1015
7 203
29 29
1

Prime factors of 5075 are 5, 7,29. Prime factorization of 5075 in exponential form is:

5075 = 52×71×291

Prime Factorization of 5079


3 5079
1693 1693
1

Prime factors of 5079 are 3,1693. Prime factorization of 5079 in exponential form is:

5079 = 31×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 5075 and 5079.

LCM(5075,5079) = 31×52×71×291×16931
LCM(5075,5079) = 25775925

Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075

Factors of 5079

List of positive integer factors of 5079 that divides 5079 without a remainder.

1, 3, 1693, 5079

Least Common Multiple of 5075 and 5079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5075 and 5079, than apply into the LCM equation.

GCF(5075,5079) = 1
LCM(5075,5079) = ( 5075 × 5079) / 1
LCM(5075,5079) = 25775925 / 1
LCM(5075,5079) = 25775925

Properties of LCM 5075 and 5079

(i) The LCM of 5079 and 5075 is associative

LCM of 5075 and 5079 = LCM of 5079 and 5075

Related Least Common Multiples of 5075

Related Least Common Multiples of 5079

Frequently Asked Questions on LCM of 5075 and 5079

1. What is the LCM of 5075 and 5079?

Answer: LCM of 5075 and 5079 is 25775925.

2. What are the Factors of 5075?

Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.

3. What are the Factors of 5079?

Answer: Factors of 5079 are 1, 3, 1693, 5079. There are 4 integers that are factors of 5079. The greatest factor of 5079 is 5079.

4. How to Find the LCM of 5075 and 5079?

Answer:

Least Common Multiple of 5075 and 5079 = 25775925

Step 1: Find the prime factorization of 5075

5075 = 5 x 5 x 7 x 29

Step 2: Find the prime factorization of 5079

5079 = 3 x 1693

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

LCM = 25775925 = 3 x 5 x 5 x 7 x 29 x 1693

Step 4: Therefore, the least common multiple of 5075 and 5079 is 25775925.