Least Common Multiple of 8724 and 8728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8724 and 8728 the smallest integer that is 19035768 that is divisible by both numbers.

Least Common Multiple (LCM) of 8724 and 8728 is 19035768.

LCM(8724,8728) = 19035768

LCM of 8724 and 8728

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

LCM of:
and

Least Common Multiple of 8724 and 8728

LCM of 8724 and 8728 is 19035768

Least common multiple can be found by multiplying the highest exponent prime factors of 8724 and 8728. First we will calculate the prime factors of 8724 and 8728.

Prime Factorization of 8724


2 8724
2 4362
3 2181
727 727
1

Prime factors of 8724 are 2, 3,727. Prime factorization of 8724 in exponential form is:

8724 = 22×31×7271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8724 and 8728.

LCM(8724,8728) = 23×31×7271×10911
LCM(8724,8728) = 19035768

Factors of 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724

Factors of 8728

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

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

Least Common Multiple of 8724 and 8728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8724 and 8728, than apply into the LCM equation.

GCF(8724,8728) = 4
LCM(8724,8728) = ( 8724 × 8728) / 4
LCM(8724,8728) = 76143072 / 4
LCM(8724,8728) = 19035768

Properties of LCM 8724 and 8728

(i) The LCM of 8728 and 8724 is associative

LCM of 8724 and 8728 = LCM of 8728 and 8724

Related Least Common Multiples of 8724

Related Least Common Multiples of 8728

Frequently Asked Questions on LCM of 8724 and 8728

1. What is the LCM of 8724 and 8728?

Answer: LCM of 8724 and 8728 is 19035768.

2. What are the Factors of 8724?

Answer: Factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724. There are 12 integers that are factors of 8724. The greatest factor of 8724 is 8724.

3. 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.

4. How to Find the LCM of 8724 and 8728?

Answer:

Least Common Multiple of 8724 and 8728 = 19035768

Step 1: Find the prime factorization of 8724

8724 = 2 x 2 x 3 x 727

Step 2: Find the prime factorization of 8728

8728 = 2 x 2 x 2 x 1091

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

LCM = 19035768 = 2 x 2 x 2 x 3 x 727 x 1091

Step 4: Therefore, the least common multiple of 8724 and 8728 is 19035768.