Least Common Multiple of 8730 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 8730 and 8737 the smallest integer that is 76274010 that is divisible by both numbers.

Least Common Multiple (LCM) of 8730 and 8737 is 76274010.

LCM(8730,8737) = 76274010

LCM of 8730 and 8737

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

LCM of:
and

Least Common Multiple of 8730 and 8737

LCM of 8730 and 8737 is 76274010

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8737. First we will calculate the prime factors of 8730 and 8737.

Prime Factorization of 8730


2 8730
3 4365
3 1455
5 485
97 97
1

Prime factors of 8730 are 2, 3, 5,97. Prime factorization of 8730 in exponential form is:

8730 = 21×32×51×971

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 8730 and 8737.

LCM(8730,8737) = 21×32×51×971×87371
LCM(8730,8737) = 76274010

Factors of 8730

List of positive integer factors of 8730 that divides 8730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730

Factors of 8737

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

1, 8737

Least Common Multiple of 8730 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 8730 and 8737, than apply into the LCM equation.

GCF(8730,8737) = 1
LCM(8730,8737) = ( 8730 × 8737) / 1
LCM(8730,8737) = 76274010 / 1
LCM(8730,8737) = 76274010

Properties of LCM 8730 and 8737

(i) The LCM of 8737 and 8730 is associative

LCM of 8730 and 8737 = LCM of 8737 and 8730

Related Least Common Multiples of 8730

Related Least Common Multiples of 8737

Frequently Asked Questions on LCM of 8730 and 8737

1. What is the LCM of 8730 and 8737?

Answer: LCM of 8730 and 8737 is 76274010.

2. What are the Factors of 8730?

Answer: Factors of 8730 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730. There are 24 integers that are factors of 8730. The greatest factor of 8730 is 8730.

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 8730 and 8737?

Answer:

Least Common Multiple of 8730 and 8737 = 76274010

Step 1: Find the prime factorization of 8730

8730 = 2 x 3 x 3 x 5 x 97

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 = 76274010 = 2 x 3 x 3 x 5 x 97 x 8737

Step 4: Therefore, the least common multiple of 8730 and 8737 is 76274010.