Least Common Multiple of 8762 and 8769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8762 and 8769 the smallest integer that is 76833978 that is divisible by both numbers.

Least Common Multiple (LCM) of 8762 and 8769 is 76833978.

LCM(8762,8769) = 76833978

LCM of 8762 and 8769

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

LCM of:
and

Least Common Multiple of 8762 and 8769

LCM of 8762 and 8769 is 76833978

Least common multiple can be found by multiplying the highest exponent prime factors of 8762 and 8769. First we will calculate the prime factors of 8762 and 8769.

Prime Factorization of 8762


2 8762
13 4381
337 337
1

Prime factors of 8762 are 2, 13,337. Prime factorization of 8762 in exponential form is:

8762 = 21×131×3371

Prime Factorization of 8769


3 8769
37 2923
79 79
1

Prime factors of 8769 are 3, 37,79. Prime factorization of 8769 in exponential form is:

8769 = 31×371×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8762 and 8769.

LCM(8762,8769) = 21×31×131×371×791×3371
LCM(8762,8769) = 76833978

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1, 2, 13, 26, 337, 674, 4381, 8762

Factors of 8769

List of positive integer factors of 8769 that divides 8769 without a remainder.

1, 3, 37, 79, 111, 237, 2923, 8769

Least Common Multiple of 8762 and 8769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8762 and 8769, than apply into the LCM equation.

GCF(8762,8769) = 1
LCM(8762,8769) = ( 8762 × 8769) / 1
LCM(8762,8769) = 76833978 / 1
LCM(8762,8769) = 76833978

Properties of LCM 8762 and 8769

(i) The LCM of 8769 and 8762 is associative

LCM of 8762 and 8769 = LCM of 8769 and 8762

Related Least Common Multiples of 8762

Related Least Common Multiples of 8769

Frequently Asked Questions on LCM of 8762 and 8769

1. What is the LCM of 8762 and 8769?

Answer: LCM of 8762 and 8769 is 76833978.

2. What are the Factors of 8762?

Answer: Factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762. There are 8 integers that are factors of 8762. The greatest factor of 8762 is 8762.

3. What are the Factors of 8769?

Answer: Factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769. There are 8 integers that are factors of 8769. The greatest factor of 8769 is 8769.

4. How to Find the LCM of 8762 and 8769?

Answer:

Least Common Multiple of 8762 and 8769 = 76833978

Step 1: Find the prime factorization of 8762

8762 = 2 x 13 x 337

Step 2: Find the prime factorization of 8769

8769 = 3 x 37 x 79

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

LCM = 76833978 = 2 x 3 x 13 x 37 x 79 x 337

Step 4: Therefore, the least common multiple of 8762 and 8769 is 76833978.