Least Common Multiple of 5069 and 5075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5069 and 5075 the smallest integer that is 25725175 that is divisible by both numbers.

Least Common Multiple (LCM) of 5069 and 5075 is 25725175.

LCM(5069,5075) = 25725175

LCM of 5069 and 5075

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

LCM of:
and

Least Common Multiple of 5069 and 5075

LCM of 5069 and 5075 is 25725175

Least common multiple can be found by multiplying the highest exponent prime factors of 5069 and 5075. First we will calculate the prime factors of 5069 and 5075.

Prime Factorization of 5069


37 5069
137 137
1

Prime factors of 5069 are 37,137. Prime factorization of 5069 in exponential form is:

5069 = 371×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5069 and 5075.

LCM(5069,5075) = 52×71×291×371×1371
LCM(5069,5075) = 25725175

Factors of 5069

List of positive integer factors of 5069 that divides 5069 without a remainder.

1, 37, 137, 5069

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

Least Common Multiple of 5069 and 5075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5069 and 5075, than apply into the LCM equation.

GCF(5069,5075) = 1
LCM(5069,5075) = ( 5069 × 5075) / 1
LCM(5069,5075) = 25725175 / 1
LCM(5069,5075) = 25725175

Properties of LCM 5069 and 5075

(i) The LCM of 5075 and 5069 is associative

LCM of 5069 and 5075 = LCM of 5075 and 5069

Related Least Common Multiples of 5069

Related Least Common Multiples of 5075

Frequently Asked Questions on LCM of 5069 and 5075

1. What is the LCM of 5069 and 5075?

Answer: LCM of 5069 and 5075 is 25725175.

2. What are the Factors of 5069?

Answer: Factors of 5069 are 1, 37, 137, 5069. There are 4 integers that are factors of 5069. The greatest factor of 5069 is 5069.

3. 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.

4. How to Find the LCM of 5069 and 5075?

Answer:

Least Common Multiple of 5069 and 5075 = 25725175

Step 1: Find the prime factorization of 5069

5069 = 37 x 137

Step 2: Find the prime factorization of 5075

5075 = 5 x 5 x 7 x 29

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

LCM = 25725175 = 5 x 5 x 7 x 29 x 37 x 137

Step 4: Therefore, the least common multiple of 5069 and 5075 is 25725175.