Least Common Multiple of 8727 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 8727 and 8732 the smallest integer that is 76204164 that is divisible by both numbers.

Least Common Multiple (LCM) of 8727 and 8732 is 76204164.

LCM(8727,8732) = 76204164

LCM of 8727 and 8732

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

LCM of:
and

Least Common Multiple of 8727 and 8732

LCM of 8727 and 8732 is 76204164

Least common multiple can be found by multiplying the highest exponent prime factors of 8727 and 8732. First we will calculate the prime factors of 8727 and 8732.

Prime Factorization of 8727


3 8727
2909 2909
1

Prime factors of 8727 are 3,2909. Prime factorization of 8727 in exponential form is:

8727 = 31×29091

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 8727 and 8732.

LCM(8727,8732) = 22×31×371×591×29091
LCM(8727,8732) = 76204164

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1, 3, 2909, 8727

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 8727 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 8727 and 8732, than apply into the LCM equation.

GCF(8727,8732) = 1
LCM(8727,8732) = ( 8727 × 8732) / 1
LCM(8727,8732) = 76204164 / 1
LCM(8727,8732) = 76204164

Properties of LCM 8727 and 8732

(i) The LCM of 8732 and 8727 is associative

LCM of 8727 and 8732 = LCM of 8732 and 8727

Related Least Common Multiples of 8727

Related Least Common Multiples of 8732

Frequently Asked Questions on LCM of 8727 and 8732

1. What is the LCM of 8727 and 8732?

Answer: LCM of 8727 and 8732 is 76204164.

2. What are the Factors of 8727?

Answer: Factors of 8727 are 1, 3, 2909, 8727. There are 4 integers that are factors of 8727. The greatest factor of 8727 is 8727.

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 8727 and 8732?

Answer:

Least Common Multiple of 8727 and 8732 = 76204164

Step 1: Find the prime factorization of 8727

8727 = 3 x 2909

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 = 76204164 = 2 x 2 x 3 x 37 x 59 x 2909

Step 4: Therefore, the least common multiple of 8727 and 8732 is 76204164.