Least Common Multiple of 8726 and 8730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8726 and 8730 the smallest integer that is 38088990 that is divisible by both numbers.

Least Common Multiple (LCM) of 8726 and 8730 is 38088990.

LCM(8726,8730) = 38088990

LCM of 8726 and 8730

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

LCM of:
and

Least Common Multiple of 8726 and 8730

LCM of 8726 and 8730 is 38088990

Least common multiple can be found by multiplying the highest exponent prime factors of 8726 and 8730. First we will calculate the prime factors of 8726 and 8730.

Prime Factorization of 8726


2 8726
4363 4363
1

Prime factors of 8726 are 2,4363. Prime factorization of 8726 in exponential form is:

8726 = 21×43631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8726 and 8730.

LCM(8726,8730) = 21×32×51×971×43631
LCM(8726,8730) = 38088990

Factors of 8726

List of positive integer factors of 8726 that divides 8726 without a remainder.

1, 2, 4363, 8726

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

Least Common Multiple of 8726 and 8730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8726 and 8730, than apply into the LCM equation.

GCF(8726,8730) = 2
LCM(8726,8730) = ( 8726 × 8730) / 2
LCM(8726,8730) = 76177980 / 2
LCM(8726,8730) = 38088990

Properties of LCM 8726 and 8730

(i) The LCM of 8730 and 8726 is associative

LCM of 8726 and 8730 = LCM of 8730 and 8726

Related Least Common Multiples of 8726

Related Least Common Multiples of 8730

Frequently Asked Questions on LCM of 8726 and 8730

1. What is the LCM of 8726 and 8730?

Answer: LCM of 8726 and 8730 is 38088990.

2. What are the Factors of 8726?

Answer: Factors of 8726 are 1, 2, 4363, 8726. There are 4 integers that are factors of 8726. The greatest factor of 8726 is 8726.

3. 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.

4. How to Find the LCM of 8726 and 8730?

Answer:

Least Common Multiple of 8726 and 8730 = 38088990

Step 1: Find the prime factorization of 8726

8726 = 2 x 4363

Step 2: Find the prime factorization of 8730

8730 = 2 x 3 x 3 x 5 x 97

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

LCM = 38088990 = 2 x 3 x 3 x 5 x 97 x 4363

Step 4: Therefore, the least common multiple of 8726 and 8730 is 38088990.