Least Common Multiple of 8713 and 8720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8713 and 8720 the smallest integer that is 75977360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8713 and 8720 is 75977360.

LCM(8713,8720) = 75977360

LCM of 8713 and 8720

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

LCM of:
and

Least Common Multiple of 8713 and 8720

LCM of 8713 and 8720 is 75977360

Least common multiple can be found by multiplying the highest exponent prime factors of 8713 and 8720. First we will calculate the prime factors of 8713 and 8720.

Prime Factorization of 8713


8713 8713
1

Prime factors of 8713 are 8713. Prime factorization of 8713 in exponential form is:

8713 = 87131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8713 and 8720.

LCM(8713,8720) = 24×51×1091×87131
LCM(8713,8720) = 75977360

Factors of 8713

List of positive integer factors of 8713 that divides 8713 without a remainder.

1, 8713

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

Least Common Multiple of 8713 and 8720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8713 and 8720, than apply into the LCM equation.

GCF(8713,8720) = 1
LCM(8713,8720) = ( 8713 × 8720) / 1
LCM(8713,8720) = 75977360 / 1
LCM(8713,8720) = 75977360

Properties of LCM 8713 and 8720

(i) The LCM of 8720 and 8713 is associative

LCM of 8713 and 8720 = LCM of 8720 and 8713

Related Least Common Multiples of 8713

Related Least Common Multiples of 8720

Frequently Asked Questions on LCM of 8713 and 8720

1. What is the LCM of 8713 and 8720?

Answer: LCM of 8713 and 8720 is 75977360.

2. What are the Factors of 8713?

Answer: Factors of 8713 are 1, 8713. There are 2 integers that are factors of 8713. The greatest factor of 8713 is 8713.

3. 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.

4. How to Find the LCM of 8713 and 8720?

Answer:

Least Common Multiple of 8713 and 8720 = 75977360

Step 1: Find the prime factorization of 8713

8713 = 8713

Step 2: Find the prime factorization of 8720

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

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

LCM = 75977360 = 2 x 2 x 2 x 2 x 5 x 109 x 8713

Step 4: Therefore, the least common multiple of 8713 and 8720 is 75977360.