Least Common Multiple of 5075 and 5080

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 5080 the smallest integer that is 5156200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5075 and 5080 is 5156200.

LCM(5075,5080) = 5156200

LCM of 5075 and 5080

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

LCM of:
and

Least Common Multiple of 5075 and 5080

LCM of 5075 and 5080 is 5156200

Least common multiple can be found by multiplying the highest exponent prime factors of 5075 and 5080. First we will calculate the prime factors of 5075 and 5080.

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 5080


2 5080
2 2540
2 1270
5 635
127 127
1

Prime factors of 5080 are 2, 5,127. Prime factorization of 5080 in exponential form is:

5080 = 23×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5075 and 5080.

LCM(5075,5080) = 23×52×71×291×1271
LCM(5075,5080) = 5156200

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 5080

List of positive integer factors of 5080 that divides 5080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080

Least Common Multiple of 5075 and 5080 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 5080, than apply into the LCM equation.

GCF(5075,5080) = 5
LCM(5075,5080) = ( 5075 × 5080) / 5
LCM(5075,5080) = 25781000 / 5
LCM(5075,5080) = 5156200

Properties of LCM 5075 and 5080

(i) The LCM of 5080 and 5075 is associative

LCM of 5075 and 5080 = LCM of 5080 and 5075

Related Least Common Multiples of 5075

Related Least Common Multiples of 5080

Frequently Asked Questions on LCM of 5075 and 5080

1. What is the LCM of 5075 and 5080?

Answer: LCM of 5075 and 5080 is 5156200.

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 5080?

Answer: Factors of 5080 are 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080. There are 16 integers that are factors of 5080. The greatest factor of 5080 is 5080.

4. How to Find the LCM of 5075 and 5080?

Answer:

Least Common Multiple of 5075 and 5080 = 5156200

Step 1: Find the prime factorization of 5075

5075 = 5 x 5 x 7 x 29

Step 2: Find the prime factorization of 5080

5080 = 2 x 2 x 2 x 5 x 127

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

LCM = 5156200 = 2 x 2 x 2 x 5 x 5 x 7 x 29 x 127

Step 4: Therefore, the least common multiple of 5075 and 5080 is 5156200.