Least Common Multiple of 8720 and 8725

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 8725 the smallest integer that is 15216400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8720 and 8725 is 15216400.

LCM(8720,8725) = 15216400

LCM of 8720 and 8725

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

LCM of:
and

Least Common Multiple of 8720 and 8725

LCM of 8720 and 8725 is 15216400

Least common multiple can be found by multiplying the highest exponent prime factors of 8720 and 8725. First we will calculate the prime factors of 8720 and 8725.

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 8725


5 8725
5 1745
349 349
1

Prime factors of 8725 are 5,349. Prime factorization of 8725 in exponential form is:

8725 = 52×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 8720 and 8725.

LCM(8720,8725) = 24×52×1091×3491
LCM(8720,8725) = 15216400

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 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1, 5, 25, 349, 1745, 8725

Least Common Multiple of 8720 and 8725 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 8725, than apply into the LCM equation.

GCF(8720,8725) = 5
LCM(8720,8725) = ( 8720 × 8725) / 5
LCM(8720,8725) = 76082000 / 5
LCM(8720,8725) = 15216400

Properties of LCM 8720 and 8725

(i) The LCM of 8725 and 8720 is associative

LCM of 8720 and 8725 = LCM of 8725 and 8720

Related Least Common Multiples of 8720

Related Least Common Multiples of 8725

Frequently Asked Questions on LCM of 8720 and 8725

1. What is the LCM of 8720 and 8725?

Answer: LCM of 8720 and 8725 is 15216400.

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 8725?

Answer: Factors of 8725 are 1, 5, 25, 349, 1745, 8725. There are 6 integers that are factors of 8725. The greatest factor of 8725 is 8725.

4. How to Find the LCM of 8720 and 8725?

Answer:

Least Common Multiple of 8720 and 8725 = 15216400

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 8725

8725 = 5 x 5 x 349

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

LCM = 15216400 = 2 x 2 x 2 x 2 x 5 x 5 x 109 x 349

Step 4: Therefore, the least common multiple of 8720 and 8725 is 15216400.