Least Common Multiple of 8730 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 8730 and 8734 the smallest integer that is 38123910 that is divisible by both numbers.

Least Common Multiple (LCM) of 8730 and 8734 is 38123910.

LCM(8730,8734) = 38123910

LCM of 8730 and 8734

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

LCM of:
and

Least Common Multiple of 8730 and 8734

LCM of 8730 and 8734 is 38123910

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8734. First we will calculate the prime factors of 8730 and 8734.

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 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 8730 and 8734.

LCM(8730,8734) = 21×32×51×111×971×3971
LCM(8730,8734) = 38123910

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 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 8730 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 8730 and 8734, than apply into the LCM equation.

GCF(8730,8734) = 2
LCM(8730,8734) = ( 8730 × 8734) / 2
LCM(8730,8734) = 76247820 / 2
LCM(8730,8734) = 38123910

Properties of LCM 8730 and 8734

(i) The LCM of 8734 and 8730 is associative

LCM of 8730 and 8734 = LCM of 8734 and 8730

Related Least Common Multiples of 8730

Related Least Common Multiples of 8734

Frequently Asked Questions on LCM of 8730 and 8734

1. What is the LCM of 8730 and 8734?

Answer: LCM of 8730 and 8734 is 38123910.

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 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 8730 and 8734?

Answer:

Least Common Multiple of 8730 and 8734 = 38123910

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 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 = 38123910 = 2 x 3 x 3 x 5 x 11 x 97 x 397

Step 4: Therefore, the least common multiple of 8730 and 8734 is 38123910.