Least Common Multiple of 8750 and 8755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8750 and 8755 the smallest integer that is 15321250 that is divisible by both numbers.

Least Common Multiple (LCM) of 8750 and 8755 is 15321250.

LCM(8750,8755) = 15321250

LCM of 8750 and 8755

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

LCM of:
and

Least Common Multiple of 8750 and 8755

LCM of 8750 and 8755 is 15321250

Least common multiple can be found by multiplying the highest exponent prime factors of 8750 and 8755. First we will calculate the prime factors of 8750 and 8755.

Prime Factorization of 8750


2 8750
5 4375
5 875
5 175
5 35
7 7
1

Prime factors of 8750 are 2, 5,7. Prime factorization of 8750 in exponential form is:

8750 = 21×54×71

Prime Factorization of 8755


5 8755
17 1751
103 103
1

Prime factors of 8755 are 5, 17,103. Prime factorization of 8755 in exponential form is:

8755 = 51×171×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8750 and 8755.

LCM(8750,8755) = 21×54×71×171×1031
LCM(8750,8755) = 15321250

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750

Factors of 8755

List of positive integer factors of 8755 that divides 8755 without a remainder.

1, 5, 17, 85, 103, 515, 1751, 8755

Least Common Multiple of 8750 and 8755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8750 and 8755, than apply into the LCM equation.

GCF(8750,8755) = 5
LCM(8750,8755) = ( 8750 × 8755) / 5
LCM(8750,8755) = 76606250 / 5
LCM(8750,8755) = 15321250

Properties of LCM 8750 and 8755

(i) The LCM of 8755 and 8750 is associative

LCM of 8750 and 8755 = LCM of 8755 and 8750

Related Least Common Multiples of 8750

Related Least Common Multiples of 8755

Frequently Asked Questions on LCM of 8750 and 8755

1. What is the LCM of 8750 and 8755?

Answer: LCM of 8750 and 8755 is 15321250.

2. What are the Factors of 8750?

Answer: Factors of 8750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750. There are 20 integers that are factors of 8750. The greatest factor of 8750 is 8750.

3. What are the Factors of 8755?

Answer: Factors of 8755 are 1, 5, 17, 85, 103, 515, 1751, 8755. There are 8 integers that are factors of 8755. The greatest factor of 8755 is 8755.

4. How to Find the LCM of 8750 and 8755?

Answer:

Least Common Multiple of 8750 and 8755 = 15321250

Step 1: Find the prime factorization of 8750

8750 = 2 x 5 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 8755

8755 = 5 x 17 x 103

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

LCM = 15321250 = 2 x 5 x 5 x 5 x 5 x 7 x 17 x 103

Step 4: Therefore, the least common multiple of 8750 and 8755 is 15321250.