Least Common Multiple of 8714 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 8714 and 8720 the smallest integer that is 37993040 that is divisible by both numbers.

Least Common Multiple (LCM) of 8714 and 8720 is 37993040.

LCM(8714,8720) = 37993040

LCM of 8714 and 8720

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

LCM of:
and

Least Common Multiple of 8714 and 8720

LCM of 8714 and 8720 is 37993040

Least common multiple can be found by multiplying the highest exponent prime factors of 8714 and 8720. First we will calculate the prime factors of 8714 and 8720.

Prime Factorization of 8714


2 8714
4357 4357
1

Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:

8714 = 21×43571

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 8714 and 8720.

LCM(8714,8720) = 24×51×1091×43571
LCM(8714,8720) = 37993040

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1, 2, 4357, 8714

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 8714 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 8714 and 8720, than apply into the LCM equation.

GCF(8714,8720) = 2
LCM(8714,8720) = ( 8714 × 8720) / 2
LCM(8714,8720) = 75986080 / 2
LCM(8714,8720) = 37993040

Properties of LCM 8714 and 8720

(i) The LCM of 8720 and 8714 is associative

LCM of 8714 and 8720 = LCM of 8720 and 8714

Related Least Common Multiples of 8714

Related Least Common Multiples of 8720

Frequently Asked Questions on LCM of 8714 and 8720

1. What is the LCM of 8714 and 8720?

Answer: LCM of 8714 and 8720 is 37993040.

2. What are the Factors of 8714?

Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.

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 8714 and 8720?

Answer:

Least Common Multiple of 8714 and 8720 = 37993040

Step 1: Find the prime factorization of 8714

8714 = 2 x 4357

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 = 37993040 = 2 x 2 x 2 x 2 x 5 x 109 x 4357

Step 4: Therefore, the least common multiple of 8714 and 8720 is 37993040.