Least Common Multiple of 8750 and 8758

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 8758 the smallest integer that is 38316250 that is divisible by both numbers.

Least Common Multiple (LCM) of 8750 and 8758 is 38316250.

LCM(8750,8758) = 38316250

LCM of 8750 and 8758

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

LCM of:
and

Least Common Multiple of 8750 and 8758

LCM of 8750 and 8758 is 38316250

Least common multiple can be found by multiplying the highest exponent prime factors of 8750 and 8758. First we will calculate the prime factors of 8750 and 8758.

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 8758


2 8758
29 4379
151 151
1

Prime factors of 8758 are 2, 29,151. Prime factorization of 8758 in exponential form is:

8758 = 21×291×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8750 and 8758.

LCM(8750,8758) = 21×54×71×291×1511
LCM(8750,8758) = 38316250

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 8758

List of positive integer factors of 8758 that divides 8758 without a remainder.

1, 2, 29, 58, 151, 302, 4379, 8758

Least Common Multiple of 8750 and 8758 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 8758, than apply into the LCM equation.

GCF(8750,8758) = 2
LCM(8750,8758) = ( 8750 × 8758) / 2
LCM(8750,8758) = 76632500 / 2
LCM(8750,8758) = 38316250

Properties of LCM 8750 and 8758

(i) The LCM of 8758 and 8750 is associative

LCM of 8750 and 8758 = LCM of 8758 and 8750

Related Least Common Multiples of 8750

Related Least Common Multiples of 8758

Frequently Asked Questions on LCM of 8750 and 8758

1. What is the LCM of 8750 and 8758?

Answer: LCM of 8750 and 8758 is 38316250.

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 8758?

Answer: Factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758. There are 8 integers that are factors of 8758. The greatest factor of 8758 is 8758.

4. How to Find the LCM of 8750 and 8758?

Answer:

Least Common Multiple of 8750 and 8758 = 38316250

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 8758

8758 = 2 x 29 x 151

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

LCM = 38316250 = 2 x 5 x 5 x 5 x 5 x 7 x 29 x 151

Step 4: Therefore, the least common multiple of 8750 and 8758 is 38316250.