Least Common Multiple of 8752 and 8759

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 8759 the smallest integer that is 76658768 that is divisible by both numbers.

Least Common Multiple (LCM) of 8752 and 8759 is 76658768.

LCM(8752,8759) = 76658768

LCM of 8752 and 8759

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

LCM of:
and

Least Common Multiple of 8752 and 8759

LCM of 8752 and 8759 is 76658768

Least common multiple can be found by multiplying the highest exponent prime factors of 8752 and 8759. First we will calculate the prime factors of 8752 and 8759.

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 8759


19 8759
461 461
1

Prime factors of 8759 are 19,461. Prime factorization of 8759 in exponential form is:

8759 = 191×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 8752 and 8759.

LCM(8752,8759) = 24×191×4611×5471
LCM(8752,8759) = 76658768

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 8759

List of positive integer factors of 8759 that divides 8759 without a remainder.

1, 19, 461, 8759

Least Common Multiple of 8752 and 8759 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 8759, than apply into the LCM equation.

GCF(8752,8759) = 1
LCM(8752,8759) = ( 8752 × 8759) / 1
LCM(8752,8759) = 76658768 / 1
LCM(8752,8759) = 76658768

Properties of LCM 8752 and 8759

(i) The LCM of 8759 and 8752 is associative

LCM of 8752 and 8759 = LCM of 8759 and 8752

Related Least Common Multiples of 8752

Related Least Common Multiples of 8759

Frequently Asked Questions on LCM of 8752 and 8759

1. What is the LCM of 8752 and 8759?

Answer: LCM of 8752 and 8759 is 76658768.

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 8759?

Answer: Factors of 8759 are 1, 19, 461, 8759. There are 4 integers that are factors of 8759. The greatest factor of 8759 is 8759.

4. How to Find the LCM of 8752 and 8759?

Answer:

Least Common Multiple of 8752 and 8759 = 76658768

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 8759

8759 = 19 x 461

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

LCM = 76658768 = 2 x 2 x 2 x 2 x 19 x 461 x 547

Step 4: Therefore, the least common multiple of 8752 and 8759 is 76658768.