Least Common Multiple of 8720 and 8724

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 8724 the smallest integer that is 19018320 that is divisible by both numbers.

Least Common Multiple (LCM) of 8720 and 8724 is 19018320.

LCM(8720,8724) = 19018320

LCM of 8720 and 8724

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

LCM of:
and

Least Common Multiple of 8720 and 8724

LCM of 8720 and 8724 is 19018320

Least common multiple can be found by multiplying the highest exponent prime factors of 8720 and 8724. First we will calculate the prime factors of 8720 and 8724.

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 8724


2 8724
2 4362
3 2181
727 727
1

Prime factors of 8724 are 2, 3,727. Prime factorization of 8724 in exponential form is:

8724 = 22×31×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 8720 and 8724.

LCM(8720,8724) = 24×31×51×1091×7271
LCM(8720,8724) = 19018320

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 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724

Least Common Multiple of 8720 and 8724 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 8724, than apply into the LCM equation.

GCF(8720,8724) = 4
LCM(8720,8724) = ( 8720 × 8724) / 4
LCM(8720,8724) = 76073280 / 4
LCM(8720,8724) = 19018320

Properties of LCM 8720 and 8724

(i) The LCM of 8724 and 8720 is associative

LCM of 8720 and 8724 = LCM of 8724 and 8720

Related Least Common Multiples of 8720

Related Least Common Multiples of 8724

Frequently Asked Questions on LCM of 8720 and 8724

1. What is the LCM of 8720 and 8724?

Answer: LCM of 8720 and 8724 is 19018320.

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 8724?

Answer: Factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724. There are 12 integers that are factors of 8724. The greatest factor of 8724 is 8724.

4. How to Find the LCM of 8720 and 8724?

Answer:

Least Common Multiple of 8720 and 8724 = 19018320

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 8724

8724 = 2 x 2 x 3 x 727

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

LCM = 19018320 = 2 x 2 x 2 x 2 x 3 x 5 x 109 x 727

Step 4: Therefore, the least common multiple of 8720 and 8724 is 19018320.