Least Common Multiple of 8759 and 8764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8759 and 8764 the smallest integer that is 76763876 that is divisible by both numbers.

Least Common Multiple (LCM) of 8759 and 8764 is 76763876.

LCM(8759,8764) = 76763876

LCM of 8759 and 8764

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

LCM of:
and

Least Common Multiple of 8759 and 8764

LCM of 8759 and 8764 is 76763876

Least common multiple can be found by multiplying the highest exponent prime factors of 8759 and 8764. First we will calculate the prime factors of 8759 and 8764.

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

Prime Factorization of 8764


2 8764
2 4382
7 2191
313 313
1

Prime factors of 8764 are 2, 7,313. Prime factorization of 8764 in exponential form is:

8764 = 22×71×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 8759 and 8764.

LCM(8759,8764) = 22×71×191×3131×4611
LCM(8759,8764) = 76763876

Factors of 8759

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

1, 19, 461, 8759

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

Least Common Multiple of 8759 and 8764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8759 and 8764, than apply into the LCM equation.

GCF(8759,8764) = 1
LCM(8759,8764) = ( 8759 × 8764) / 1
LCM(8759,8764) = 76763876 / 1
LCM(8759,8764) = 76763876

Properties of LCM 8759 and 8764

(i) The LCM of 8764 and 8759 is associative

LCM of 8759 and 8764 = LCM of 8764 and 8759

Related Least Common Multiples of 8759

Related Least Common Multiples of 8764

Frequently Asked Questions on LCM of 8759 and 8764

1. What is the LCM of 8759 and 8764?

Answer: LCM of 8759 and 8764 is 76763876.

2. 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.

3. What are the Factors of 8764?

Answer: Factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. There are 12 integers that are factors of 8764. The greatest factor of 8764 is 8764.

4. How to Find the LCM of 8759 and 8764?

Answer:

Least Common Multiple of 8759 and 8764 = 76763876

Step 1: Find the prime factorization of 8759

8759 = 19 x 461

Step 2: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

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

LCM = 76763876 = 2 x 2 x 7 x 19 x 313 x 461

Step 4: Therefore, the least common multiple of 8759 and 8764 is 76763876.