Least Common Multiple of 8732 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 8732 and 8740 the smallest integer that is 19079420 that is divisible by both numbers.

Least Common Multiple (LCM) of 8732 and 8740 is 19079420.

LCM(8732,8740) = 19079420

LCM of 8732 and 8740

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

LCM of:
and

Least Common Multiple of 8732 and 8740

LCM of 8732 and 8740 is 19079420

Least common multiple can be found by multiplying the highest exponent prime factors of 8732 and 8740. First we will calculate the prime factors of 8732 and 8740.

Prime Factorization of 8732


2 8732
2 4366
37 2183
59 59
1

Prime factors of 8732 are 2, 37,59. Prime factorization of 8732 in exponential form is:

8732 = 22×371×591

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 8732 and 8740.

LCM(8732,8740) = 22×51×191×231×371×591
LCM(8732,8740) = 19079420

Factors of 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732

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 8732 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 8732 and 8740, than apply into the LCM equation.

GCF(8732,8740) = 4
LCM(8732,8740) = ( 8732 × 8740) / 4
LCM(8732,8740) = 76317680 / 4
LCM(8732,8740) = 19079420

Properties of LCM 8732 and 8740

(i) The LCM of 8740 and 8732 is associative

LCM of 8732 and 8740 = LCM of 8740 and 8732

Related Least Common Multiples of 8732

Related Least Common Multiples of 8740

Frequently Asked Questions on LCM of 8732 and 8740

1. What is the LCM of 8732 and 8740?

Answer: LCM of 8732 and 8740 is 19079420.

2. What are the Factors of 8732?

Answer: Factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732. There are 12 integers that are factors of 8732. The greatest factor of 8732 is 8732.

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 8732 and 8740?

Answer:

Least Common Multiple of 8732 and 8740 = 19079420

Step 1: Find the prime factorization of 8732

8732 = 2 x 2 x 37 x 59

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 = 19079420 = 2 x 2 x 5 x 19 x 23 x 37 x 59

Step 4: Therefore, the least common multiple of 8732 and 8740 is 19079420.