Least Common Multiple of 8727 and 8734

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 8734 the smallest integer that is 76221618 that is divisible by both numbers.

Least Common Multiple (LCM) of 8727 and 8734 is 76221618.

LCM(8727,8734) = 76221618

LCM of 8727 and 8734

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

LCM of:
and

Least Common Multiple of 8727 and 8734

LCM of 8727 and 8734 is 76221618

Least common multiple can be found by multiplying the highest exponent prime factors of 8727 and 8734. First we will calculate the prime factors of 8727 and 8734.

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 8734


2 8734
11 4367
397 397
1

Prime factors of 8734 are 2, 11,397. Prime factorization of 8734 in exponential form is:

8734 = 21×111×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 8727 and 8734.

LCM(8727,8734) = 21×31×111×3971×29091
LCM(8727,8734) = 76221618

Factors of 8727

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

1, 3, 2909, 8727

Factors of 8734

List of positive integer factors of 8734 that divides 8734 without a remainder.

1, 2, 11, 22, 397, 794, 4367, 8734

Least Common Multiple of 8727 and 8734 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 8734, than apply into the LCM equation.

GCF(8727,8734) = 1
LCM(8727,8734) = ( 8727 × 8734) / 1
LCM(8727,8734) = 76221618 / 1
LCM(8727,8734) = 76221618

Properties of LCM 8727 and 8734

(i) The LCM of 8734 and 8727 is associative

LCM of 8727 and 8734 = LCM of 8734 and 8727

Related Least Common Multiples of 8727

Related Least Common Multiples of 8734

Frequently Asked Questions on LCM of 8727 and 8734

1. What is the LCM of 8727 and 8734?

Answer: LCM of 8727 and 8734 is 76221618.

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 8734?

Answer: Factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734. There are 8 integers that are factors of 8734. The greatest factor of 8734 is 8734.

4. How to Find the LCM of 8727 and 8734?

Answer:

Least Common Multiple of 8727 and 8734 = 76221618

Step 1: Find the prime factorization of 8727

8727 = 3 x 2909

Step 2: Find the prime factorization of 8734

8734 = 2 x 11 x 397

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

LCM = 76221618 = 2 x 3 x 11 x 397 x 2909

Step 4: Therefore, the least common multiple of 8727 and 8734 is 76221618.