Least Common Multiple of 8728 and 8732

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 8732 the smallest integer that is 19053224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8728 and 8732 is 19053224.

LCM(8728,8732) = 19053224

LCM of 8728 and 8732

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

LCM of:
and

Least Common Multiple of 8728 and 8732

LCM of 8728 and 8732 is 19053224

Least common multiple can be found by multiplying the highest exponent prime factors of 8728 and 8732. First we will calculate the prime factors of 8728 and 8732.

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 8732


2 8732
2 4366
37 2183
59 59
1

Prime factors of 8732 are 2, 37,59. Prime factorization of 8732 in exponential form is:

8732 = 22×371×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8728 and 8732.

LCM(8728,8732) = 23×371×591×10911
LCM(8728,8732) = 19053224

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 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732

Least Common Multiple of 8728 and 8732 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 8732, than apply into the LCM equation.

GCF(8728,8732) = 4
LCM(8728,8732) = ( 8728 × 8732) / 4
LCM(8728,8732) = 76212896 / 4
LCM(8728,8732) = 19053224

Properties of LCM 8728 and 8732

(i) The LCM of 8732 and 8728 is associative

LCM of 8728 and 8732 = LCM of 8732 and 8728

Related Least Common Multiples of 8728

Related Least Common Multiples of 8732

Frequently Asked Questions on LCM of 8728 and 8732

1. What is the LCM of 8728 and 8732?

Answer: LCM of 8728 and 8732 is 19053224.

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 8732?

Answer: Factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732. There are 12 integers that are factors of 8732. The greatest factor of 8732 is 8732.

4. How to Find the LCM of 8728 and 8732?

Answer:

Least Common Multiple of 8728 and 8732 = 19053224

Step 1: Find the prime factorization of 8728

8728 = 2 x 2 x 2 x 1091

Step 2: Find the prime factorization of 8732

8732 = 2 x 2 x 37 x 59

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

LCM = 19053224 = 2 x 2 x 2 x 37 x 59 x 1091

Step 4: Therefore, the least common multiple of 8728 and 8732 is 19053224.