Least Common Multiple of 8762 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 8762 and 8770 the smallest integer that is 38421370 that is divisible by both numbers.

Least Common Multiple (LCM) of 8762 and 8770 is 38421370.

LCM(8762,8770) = 38421370

LCM of 8762 and 8770

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

LCM of:
and

Least Common Multiple of 8762 and 8770

LCM of 8762 and 8770 is 38421370

Least common multiple can be found by multiplying the highest exponent prime factors of 8762 and 8770. First we will calculate the prime factors of 8762 and 8770.

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 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 8762 and 8770.

LCM(8762,8770) = 21×51×131×3371×8771
LCM(8762,8770) = 38421370

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 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 8762 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 8762 and 8770, than apply into the LCM equation.

GCF(8762,8770) = 2
LCM(8762,8770) = ( 8762 × 8770) / 2
LCM(8762,8770) = 76842740 / 2
LCM(8762,8770) = 38421370

Properties of LCM 8762 and 8770

(i) The LCM of 8770 and 8762 is associative

LCM of 8762 and 8770 = LCM of 8770 and 8762

Related Least Common Multiples of 8762

Related Least Common Multiples of 8770

Frequently Asked Questions on LCM of 8762 and 8770

1. What is the LCM of 8762 and 8770?

Answer: LCM of 8762 and 8770 is 38421370.

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 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 8762 and 8770?

Answer:

Least Common Multiple of 8762 and 8770 = 38421370

Step 1: Find the prime factorization of 8762

8762 = 2 x 13 x 337

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 = 38421370 = 2 x 5 x 13 x 337 x 877

Step 4: Therefore, the least common multiple of 8762 and 8770 is 38421370.