Least Common Multiple of 8764 and 8770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8764 and 8770 the smallest integer that is 38430140 that is divisible by both numbers.

Least Common Multiple (LCM) of 8764 and 8770 is 38430140.

LCM(8764,8770) = 38430140

LCM of 8764 and 8770

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

LCM of:
and

Least Common Multiple of 8764 and 8770

LCM of 8764 and 8770 is 38430140

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8770. First we will calculate the prime factors of 8764 and 8770.

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

Prime Factorization of 8770


2 8770
5 4385
877 877
1

Prime factors of 8770 are 2, 5,877. Prime factorization of 8770 in exponential form is:

8770 = 21×51×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8770.

LCM(8764,8770) = 22×51×71×3131×8771
LCM(8764,8770) = 38430140

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

Factors of 8770

List of positive integer factors of 8770 that divides 8770 without a remainder.

1, 2, 5, 10, 877, 1754, 4385, 8770

Least Common Multiple of 8764 and 8770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8764 and 8770, than apply into the LCM equation.

GCF(8764,8770) = 2
LCM(8764,8770) = ( 8764 × 8770) / 2
LCM(8764,8770) = 76860280 / 2
LCM(8764,8770) = 38430140

Properties of LCM 8764 and 8770

(i) The LCM of 8770 and 8764 is associative

LCM of 8764 and 8770 = LCM of 8770 and 8764

Related Least Common Multiples of 8764

Related Least Common Multiples of 8770

Frequently Asked Questions on LCM of 8764 and 8770

1. What is the LCM of 8764 and 8770?

Answer: LCM of 8764 and 8770 is 38430140.

2. 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.

3. What are the Factors of 8770?

Answer: Factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770. There are 8 integers that are factors of 8770. The greatest factor of 8770 is 8770.

4. How to Find the LCM of 8764 and 8770?

Answer:

Least Common Multiple of 8764 and 8770 = 38430140

Step 1: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

Step 2: Find the prime factorization of 8770

8770 = 2 x 5 x 877

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

LCM = 38430140 = 2 x 2 x 5 x 7 x 313 x 877

Step 4: Therefore, the least common multiple of 8764 and 8770 is 38430140.