Least Common Multiple of 8720 and 8726

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 8726 the smallest integer that is 38045360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8720 and 8726 is 38045360.

LCM(8720,8726) = 38045360

LCM of 8720 and 8726

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

LCM of:
and

Least Common Multiple of 8720 and 8726

LCM of 8720 and 8726 is 38045360

Least common multiple can be found by multiplying the highest exponent prime factors of 8720 and 8726. First we will calculate the prime factors of 8720 and 8726.

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 8726


2 8726
4363 4363
1

Prime factors of 8726 are 2,4363. Prime factorization of 8726 in exponential form is:

8726 = 21×43631

Now multiplying the highest exponent prime factors to calculate the LCM of 8720 and 8726.

LCM(8720,8726) = 24×51×1091×43631
LCM(8720,8726) = 38045360

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 8726

List of positive integer factors of 8726 that divides 8726 without a remainder.

1, 2, 4363, 8726

Least Common Multiple of 8720 and 8726 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 8726, than apply into the LCM equation.

GCF(8720,8726) = 2
LCM(8720,8726) = ( 8720 × 8726) / 2
LCM(8720,8726) = 76090720 / 2
LCM(8720,8726) = 38045360

Properties of LCM 8720 and 8726

(i) The LCM of 8726 and 8720 is associative

LCM of 8720 and 8726 = LCM of 8726 and 8720

Related Least Common Multiples of 8720

Related Least Common Multiples of 8726

Frequently Asked Questions on LCM of 8720 and 8726

1. What is the LCM of 8720 and 8726?

Answer: LCM of 8720 and 8726 is 38045360.

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 8726?

Answer: Factors of 8726 are 1, 2, 4363, 8726. There are 4 integers that are factors of 8726. The greatest factor of 8726 is 8726.

4. How to Find the LCM of 8720 and 8726?

Answer:

Least Common Multiple of 8720 and 8726 = 38045360

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 8726

8726 = 2 x 4363

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

LCM = 38045360 = 2 x 2 x 2 x 2 x 5 x 109 x 4363

Step 4: Therefore, the least common multiple of 8720 and 8726 is 38045360.