Least Common Multiple of 8720 and 8727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8720 and 8727 the smallest integer that is 76099440 that is divisible by both numbers.

Least Common Multiple (LCM) of 8720 and 8727 is 76099440.

LCM(8720,8727) = 76099440

LCM of 8720 and 8727

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

LCM of:
and

Least Common Multiple of 8720 and 8727

LCM of 8720 and 8727 is 76099440

Least common multiple can be found by multiplying the highest exponent prime factors of 8720 and 8727. First we will calculate the prime factors of 8720 and 8727.

Prime Factorization of 8720


2 8720
2 4360
2 2180
2 1090
5 545
109 109
1

Prime factors of 8720 are 2, 5,109. Prime factorization of 8720 in exponential form is:

8720 = 24×51×1091

Prime Factorization of 8727


3 8727
2909 2909
1

Prime factors of 8727 are 3,2909. Prime factorization of 8727 in exponential form is:

8727 = 31×29091

Now multiplying the highest exponent prime factors to calculate the LCM of 8720 and 8727.

LCM(8720,8727) = 24×31×51×1091×29091
LCM(8720,8727) = 76099440

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1, 3, 2909, 8727

Least Common Multiple of 8720 and 8727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8720 and 8727, than apply into the LCM equation.

GCF(8720,8727) = 1
LCM(8720,8727) = ( 8720 × 8727) / 1
LCM(8720,8727) = 76099440 / 1
LCM(8720,8727) = 76099440

Properties of LCM 8720 and 8727

(i) The LCM of 8727 and 8720 is associative

LCM of 8720 and 8727 = LCM of 8727 and 8720

Related Least Common Multiples of 8720

Related Least Common Multiples of 8727

Frequently Asked Questions on LCM of 8720 and 8727

1. What is the LCM of 8720 and 8727?

Answer: LCM of 8720 and 8727 is 76099440.

2. What are the Factors of 8720?

Answer: Factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720. There are 20 integers that are factors of 8720. The greatest factor of 8720 is 8720.

3. What are the Factors of 8727?

Answer: Factors of 8727 are 1, 3, 2909, 8727. There are 4 integers that are factors of 8727. The greatest factor of 8727 is 8727.

4. How to Find the LCM of 8720 and 8727?

Answer:

Least Common Multiple of 8720 and 8727 = 76099440

Step 1: Find the prime factorization of 8720

8720 = 2 x 2 x 2 x 2 x 5 x 109

Step 2: Find the prime factorization of 8727

8727 = 3 x 2909

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

LCM = 76099440 = 2 x 2 x 2 x 2 x 3 x 5 x 109 x 2909

Step 4: Therefore, the least common multiple of 8720 and 8727 is 76099440.