Least Common Multiple of 8728 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 8728 and 8733 the smallest integer that is 76221624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8728 and 8733 is 76221624.

LCM(8728,8733) = 76221624

LCM of 8728 and 8733

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

LCM of:
and

Least Common Multiple of 8728 and 8733

LCM of 8728 and 8733 is 76221624

Least common multiple can be found by multiplying the highest exponent prime factors of 8728 and 8733. First we will calculate the prime factors of 8728 and 8733.

Prime Factorization of 8728


2 8728
2 4364
2 2182
1091 1091
1

Prime factors of 8728 are 2,1091. Prime factorization of 8728 in exponential form is:

8728 = 23×10911

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 8728 and 8733.

LCM(8728,8733) = 23×31×411×711×10911
LCM(8728,8733) = 76221624

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1, 2, 4, 8, 1091, 2182, 4364, 8728

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 8728 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 8728 and 8733, than apply into the LCM equation.

GCF(8728,8733) = 1
LCM(8728,8733) = ( 8728 × 8733) / 1
LCM(8728,8733) = 76221624 / 1
LCM(8728,8733) = 76221624

Properties of LCM 8728 and 8733

(i) The LCM of 8733 and 8728 is associative

LCM of 8728 and 8733 = LCM of 8733 and 8728

Related Least Common Multiples of 8728

Related Least Common Multiples of 8733

Frequently Asked Questions on LCM of 8728 and 8733

1. What is the LCM of 8728 and 8733?

Answer: LCM of 8728 and 8733 is 76221624.

2. What are the Factors of 8728?

Answer: Factors of 8728 are 1, 2, 4, 8, 1091, 2182, 4364, 8728. There are 8 integers that are factors of 8728. The greatest factor of 8728 is 8728.

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 8728 and 8733?

Answer:

Least Common Multiple of 8728 and 8733 = 76221624

Step 1: Find the prime factorization of 8728

8728 = 2 x 2 x 2 x 1091

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 = 76221624 = 2 x 2 x 2 x 3 x 41 x 71 x 1091

Step 4: Therefore, the least common multiple of 8728 and 8733 is 76221624.