Least Common Multiple of 8733 and 8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8733 and 8740 the smallest integer that is 76326420 that is divisible by both numbers.

Least Common Multiple (LCM) of 8733 and 8740 is 76326420.

LCM(8733,8740) = 76326420

LCM of 8733 and 8740

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

LCM of:
and

Least Common Multiple of 8733 and 8740

LCM of 8733 and 8740 is 76326420

Least common multiple can be found by multiplying the highest exponent prime factors of 8733 and 8740. First we will calculate the prime factors of 8733 and 8740.

Prime Factorization of 8733


3 8733
41 2911
71 71
1

Prime factors of 8733 are 3, 41,71. Prime factorization of 8733 in exponential form is:

8733 = 31×411×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8733 and 8740.

LCM(8733,8740) = 22×31×51×191×231×411×711
LCM(8733,8740) = 76326420

Factors of 8733

List of positive integer factors of 8733 that divides 8733 without a remainder.

1, 3, 41, 71, 123, 213, 2911, 8733

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

Least Common Multiple of 8733 and 8740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8733 and 8740, than apply into the LCM equation.

GCF(8733,8740) = 1
LCM(8733,8740) = ( 8733 × 8740) / 1
LCM(8733,8740) = 76326420 / 1
LCM(8733,8740) = 76326420

Properties of LCM 8733 and 8740

(i) The LCM of 8740 and 8733 is associative

LCM of 8733 and 8740 = LCM of 8740 and 8733

Related Least Common Multiples of 8733

Related Least Common Multiples of 8740

Frequently Asked Questions on LCM of 8733 and 8740

1. What is the LCM of 8733 and 8740?

Answer: LCM of 8733 and 8740 is 76326420.

2. What are the Factors of 8733?

Answer: Factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733. There are 8 integers that are factors of 8733. The greatest factor of 8733 is 8733.

3. 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.

4. How to Find the LCM of 8733 and 8740?

Answer:

Least Common Multiple of 8733 and 8740 = 76326420

Step 1: Find the prime factorization of 8733

8733 = 3 x 41 x 71

Step 2: Find the prime factorization of 8740

8740 = 2 x 2 x 5 x 19 x 23

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

LCM = 76326420 = 2 x 2 x 3 x 5 x 19 x 23 x 41 x 71

Step 4: Therefore, the least common multiple of 8733 and 8740 is 76326420.