Least Common Multiple of 8730 and 8738

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 8738 the smallest integer that is 38141370 that is divisible by both numbers.

Least Common Multiple (LCM) of 8730 and 8738 is 38141370.

LCM(8730,8738) = 38141370

LCM of 8730 and 8738

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

LCM of:
and

Least Common Multiple of 8730 and 8738

LCM of 8730 and 8738 is 38141370

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8738. First we will calculate the prime factors of 8730 and 8738.

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 8738


2 8738
17 4369
257 257
1

Prime factors of 8738 are 2, 17,257. Prime factorization of 8738 in exponential form is:

8738 = 21×171×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 8730 and 8738.

LCM(8730,8738) = 21×32×51×171×971×2571
LCM(8730,8738) = 38141370

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 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1, 2, 17, 34, 257, 514, 4369, 8738

Least Common Multiple of 8730 and 8738 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 8738, than apply into the LCM equation.

GCF(8730,8738) = 2
LCM(8730,8738) = ( 8730 × 8738) / 2
LCM(8730,8738) = 76282740 / 2
LCM(8730,8738) = 38141370

Properties of LCM 8730 and 8738

(i) The LCM of 8738 and 8730 is associative

LCM of 8730 and 8738 = LCM of 8738 and 8730

Related Least Common Multiples of 8730

Related Least Common Multiples of 8738

Frequently Asked Questions on LCM of 8730 and 8738

1. What is the LCM of 8730 and 8738?

Answer: LCM of 8730 and 8738 is 38141370.

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 8738?

Answer: Factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738. There are 8 integers that are factors of 8738. The greatest factor of 8738 is 8738.

4. How to Find the LCM of 8730 and 8738?

Answer:

Least Common Multiple of 8730 and 8738 = 38141370

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 8738

8738 = 2 x 17 x 257

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

LCM = 38141370 = 2 x 3 x 3 x 5 x 17 x 97 x 257

Step 4: Therefore, the least common multiple of 8730 and 8738 is 38141370.