Least Common Multiple of 5250 and 5255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5250 and 5255 the smallest integer that is 5517750 that is divisible by both numbers.

Least Common Multiple (LCM) of 5250 and 5255 is 5517750.

LCM(5250,5255) = 5517750

LCM of 5250 and 5255

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

LCM of:
and

Least Common Multiple of 5250 and 5255

LCM of 5250 and 5255 is 5517750

Least common multiple can be found by multiplying the highest exponent prime factors of 5250 and 5255. First we will calculate the prime factors of 5250 and 5255.

Prime Factorization of 5250


2 5250
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 5250 are 2, 3, 5,7. Prime factorization of 5250 in exponential form is:

5250 = 21×31×53×71

Prime Factorization of 5255


5 5255
1051 1051
1

Prime factors of 5255 are 5,1051. Prime factorization of 5255 in exponential form is:

5255 = 51×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 5250 and 5255.

LCM(5250,5255) = 21×31×53×71×10511
LCM(5250,5255) = 5517750

Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250

Factors of 5255

List of positive integer factors of 5255 that divides 5255 without a remainder.

1, 5, 1051, 5255

Least Common Multiple of 5250 and 5255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5250 and 5255, than apply into the LCM equation.

GCF(5250,5255) = 5
LCM(5250,5255) = ( 5250 × 5255) / 5
LCM(5250,5255) = 27588750 / 5
LCM(5250,5255) = 5517750

Properties of LCM 5250 and 5255

(i) The LCM of 5255 and 5250 is associative

LCM of 5250 and 5255 = LCM of 5255 and 5250

Related Least Common Multiples of 5250

Related Least Common Multiples of 5255

Frequently Asked Questions on LCM of 5250 and 5255

1. What is the LCM of 5250 and 5255?

Answer: LCM of 5250 and 5255 is 5517750.

2. What are the Factors of 5250?

Answer: Factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250. There are 32 integers that are factors of 5250. The greatest factor of 5250 is 5250.

3. What are the Factors of 5255?

Answer: Factors of 5255 are 1, 5, 1051, 5255. There are 4 integers that are factors of 5255. The greatest factor of 5255 is 5255.

4. How to Find the LCM of 5250 and 5255?

Answer:

Least Common Multiple of 5250 and 5255 = 5517750

Step 1: Find the prime factorization of 5250

5250 = 2 x 3 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 5255

5255 = 5 x 1051

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

LCM = 5517750 = 2 x 3 x 5 x 5 x 5 x 7 x 1051

Step 4: Therefore, the least common multiple of 5250 and 5255 is 5517750.