Least Common Multiple of 8729 and 8737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8729 and 8737 the smallest integer that is 76265273 that is divisible by both numbers.

Least Common Multiple (LCM) of 8729 and 8737 is 76265273.

LCM(8729,8737) = 76265273

LCM of 8729 and 8737

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

LCM of:
and

Least Common Multiple of 8729 and 8737

LCM of 8729 and 8737 is 76265273

Least common multiple can be found by multiplying the highest exponent prime factors of 8729 and 8737. First we will calculate the prime factors of 8729 and 8737.

Prime Factorization of 8729


7 8729
29 1247
43 43
1

Prime factors of 8729 are 7, 29,43. Prime factorization of 8729 in exponential form is:

8729 = 71×291×431

Prime Factorization of 8737


8737 8737
1

Prime factors of 8737 are 8737. Prime factorization of 8737 in exponential form is:

8737 = 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 8729 and 8737.

LCM(8729,8737) = 71×291×431×87371
LCM(8729,8737) = 76265273

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1, 7, 29, 43, 203, 301, 1247, 8729

Factors of 8737

List of positive integer factors of 8737 that divides 8737 without a remainder.

1, 8737

Least Common Multiple of 8729 and 8737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8729 and 8737, than apply into the LCM equation.

GCF(8729,8737) = 1
LCM(8729,8737) = ( 8729 × 8737) / 1
LCM(8729,8737) = 76265273 / 1
LCM(8729,8737) = 76265273

Properties of LCM 8729 and 8737

(i) The LCM of 8737 and 8729 is associative

LCM of 8729 and 8737 = LCM of 8737 and 8729

Related Least Common Multiples of 8729

Related Least Common Multiples of 8737

Frequently Asked Questions on LCM of 8729 and 8737

1. What is the LCM of 8729 and 8737?

Answer: LCM of 8729 and 8737 is 76265273.

2. What are the Factors of 8729?

Answer: Factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729. There are 8 integers that are factors of 8729. The greatest factor of 8729 is 8729.

3. What are the Factors of 8737?

Answer: Factors of 8737 are 1, 8737. There are 2 integers that are factors of 8737. The greatest factor of 8737 is 8737.

4. How to Find the LCM of 8729 and 8737?

Answer:

Least Common Multiple of 8729 and 8737 = 76265273

Step 1: Find the prime factorization of 8729

8729 = 7 x 29 x 43

Step 2: Find the prime factorization of 8737

8737 = 8737

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

LCM = 76265273 = 7 x 29 x 43 x 8737

Step 4: Therefore, the least common multiple of 8729 and 8737 is 76265273.