Least Common Multiple of 8740 and 8747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8740 and 8747 the smallest integer that is 76448780 that is divisible by both numbers.

Least Common Multiple (LCM) of 8740 and 8747 is 76448780.

LCM(8740,8747) = 76448780

LCM of 8740 and 8747

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

LCM of:
and

Least Common Multiple of 8740 and 8747

LCM of 8740 and 8747 is 76448780

Least common multiple can be found by multiplying the highest exponent prime factors of 8740 and 8747. First we will calculate the prime factors of 8740 and 8747.

Prime Factorization of 8740


2 8740
2 4370
5 2185
19 437
23 23
1

Prime factors of 8740 are 2, 5, 19,23. Prime factorization of 8740 in exponential form is:

8740 = 22×51×191×231

Prime Factorization of 8747


8747 8747
1

Prime factors of 8747 are 8747. Prime factorization of 8747 in exponential form is:

8747 = 87471

Now multiplying the highest exponent prime factors to calculate the LCM of 8740 and 8747.

LCM(8740,8747) = 22×51×191×231×87471
LCM(8740,8747) = 76448780

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740

Factors of 8747

List of positive integer factors of 8747 that divides 8747 without a remainder.

1, 8747

Least Common Multiple of 8740 and 8747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8740 and 8747, than apply into the LCM equation.

GCF(8740,8747) = 1
LCM(8740,8747) = ( 8740 × 8747) / 1
LCM(8740,8747) = 76448780 / 1
LCM(8740,8747) = 76448780

Properties of LCM 8740 and 8747

(i) The LCM of 8747 and 8740 is associative

LCM of 8740 and 8747 = LCM of 8747 and 8740

Related Least Common Multiples of 8740

Related Least Common Multiples of 8747

Frequently Asked Questions on LCM of 8740 and 8747

1. What is the LCM of 8740 and 8747?

Answer: LCM of 8740 and 8747 is 76448780.

2. What are the Factors of 8740?

Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.

3. What are the Factors of 8747?

Answer: Factors of 8747 are 1, 8747. There are 2 integers that are factors of 8747. The greatest factor of 8747 is 8747.

4. How to Find the LCM of 8740 and 8747?

Answer:

Least Common Multiple of 8740 and 8747 = 76448780

Step 1: Find the prime factorization of 8740

8740 = 2 x 2 x 5 x 19 x 23

Step 2: Find the prime factorization of 8747

8747 = 8747

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

LCM = 76448780 = 2 x 2 x 5 x 19 x 23 x 8747

Step 4: Therefore, the least common multiple of 8740 and 8747 is 76448780.