Least Common Multiple of 8726 and 8733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8726 and 8733 the smallest integer that is 76204158 that is divisible by both numbers.

Least Common Multiple (LCM) of 8726 and 8733 is 76204158.

LCM(8726,8733) = 76204158

LCM of 8726 and 8733

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

LCM of:
and

Least Common Multiple of 8726 and 8733

LCM of 8726 and 8733 is 76204158

Least common multiple can be found by multiplying the highest exponent prime factors of 8726 and 8733. First we will calculate the prime factors of 8726 and 8733.

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

Prime Factorization of 8733


3 8733
41 2911
71 71
1

Prime factors of 8733 are 3, 41,71. Prime factorization of 8733 in exponential form is:

8733 = 31×411×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8726 and 8733.

LCM(8726,8733) = 21×31×411×711×43631
LCM(8726,8733) = 76204158

Factors of 8726

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

1, 2, 4363, 8726

Factors of 8733

List of positive integer factors of 8733 that divides 8733 without a remainder.

1, 3, 41, 71, 123, 213, 2911, 8733

Least Common Multiple of 8726 and 8733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8726 and 8733, than apply into the LCM equation.

GCF(8726,8733) = 1
LCM(8726,8733) = ( 8726 × 8733) / 1
LCM(8726,8733) = 76204158 / 1
LCM(8726,8733) = 76204158

Properties of LCM 8726 and 8733

(i) The LCM of 8733 and 8726 is associative

LCM of 8726 and 8733 = LCM of 8733 and 8726

Related Least Common Multiples of 8726

Related Least Common Multiples of 8733

Frequently Asked Questions on LCM of 8726 and 8733

1. What is the LCM of 8726 and 8733?

Answer: LCM of 8726 and 8733 is 76204158.

2. 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.

3. What are the Factors of 8733?

Answer: Factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733. There are 8 integers that are factors of 8733. The greatest factor of 8733 is 8733.

4. How to Find the LCM of 8726 and 8733?

Answer:

Least Common Multiple of 8726 and 8733 = 76204158

Step 1: Find the prime factorization of 8726

8726 = 2 x 4363

Step 2: Find the prime factorization of 8733

8733 = 3 x 41 x 71

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

LCM = 76204158 = 2 x 3 x 41 x 71 x 4363

Step 4: Therefore, the least common multiple of 8726 and 8733 is 76204158.