Least Common Multiple of 8752 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 8752 and 8758 the smallest integer that is 38325008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8752 and 8758 is 38325008.

LCM(8752,8758) = 38325008

LCM of 8752 and 8758

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

LCM of:
and

Least Common Multiple of 8752 and 8758

LCM of 8752 and 8758 is 38325008

Least common multiple can be found by multiplying the highest exponent prime factors of 8752 and 8758. First we will calculate the prime factors of 8752 and 8758.

Prime Factorization of 8752


2 8752
2 4376
2 2188
2 1094
547 547
1

Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:

8752 = 24×5471

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 8752 and 8758.

LCM(8752,8758) = 24×291×1511×5471
LCM(8752,8758) = 38325008

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752

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 8752 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 8752 and 8758, than apply into the LCM equation.

GCF(8752,8758) = 2
LCM(8752,8758) = ( 8752 × 8758) / 2
LCM(8752,8758) = 76650016 / 2
LCM(8752,8758) = 38325008

Properties of LCM 8752 and 8758

(i) The LCM of 8758 and 8752 is associative

LCM of 8752 and 8758 = LCM of 8758 and 8752

Related Least Common Multiples of 8752

Related Least Common Multiples of 8758

Frequently Asked Questions on LCM of 8752 and 8758

1. What is the LCM of 8752 and 8758?

Answer: LCM of 8752 and 8758 is 38325008.

2. What are the Factors of 8752?

Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.

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 8752 and 8758?

Answer:

Least Common Multiple of 8752 and 8758 = 38325008

Step 1: Find the prime factorization of 8752

8752 = 2 x 2 x 2 x 2 x 547

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 = 38325008 = 2 x 2 x 2 x 2 x 29 x 151 x 547

Step 4: Therefore, the least common multiple of 8752 and 8758 is 38325008.