Least Common Multiple of 8750 and 8754

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 8754 the smallest integer that is 38298750 that is divisible by both numbers.

Least Common Multiple (LCM) of 8750 and 8754 is 38298750.

LCM(8750,8754) = 38298750

LCM of 8750 and 8754

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

LCM of:
and

Least Common Multiple of 8750 and 8754

LCM of 8750 and 8754 is 38298750

Least common multiple can be found by multiplying the highest exponent prime factors of 8750 and 8754. First we will calculate the prime factors of 8750 and 8754.

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 8754


2 8754
3 4377
1459 1459
1

Prime factors of 8754 are 2, 3,1459. Prime factorization of 8754 in exponential form is:

8754 = 21×31×14591

Now multiplying the highest exponent prime factors to calculate the LCM of 8750 and 8754.

LCM(8750,8754) = 21×31×54×71×14591
LCM(8750,8754) = 38298750

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 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1, 2, 3, 6, 1459, 2918, 4377, 8754

Least Common Multiple of 8750 and 8754 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 8754, than apply into the LCM equation.

GCF(8750,8754) = 2
LCM(8750,8754) = ( 8750 × 8754) / 2
LCM(8750,8754) = 76597500 / 2
LCM(8750,8754) = 38298750

Properties of LCM 8750 and 8754

(i) The LCM of 8754 and 8750 is associative

LCM of 8750 and 8754 = LCM of 8754 and 8750

Related Least Common Multiples of 8750

Related Least Common Multiples of 8754

Frequently Asked Questions on LCM of 8750 and 8754

1. What is the LCM of 8750 and 8754?

Answer: LCM of 8750 and 8754 is 38298750.

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 8754?

Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.

4. How to Find the LCM of 8750 and 8754?

Answer:

Least Common Multiple of 8750 and 8754 = 38298750

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 8754

8754 = 2 x 3 x 1459

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

LCM = 38298750 = 2 x 3 x 5 x 5 x 5 x 5 x 7 x 1459

Step 4: Therefore, the least common multiple of 8750 and 8754 is 38298750.