Least Common Multiple of 8607 and 8613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8607 and 8613 the smallest integer that is 24710697 that is divisible by both numbers.

Least Common Multiple (LCM) of 8607 and 8613 is 24710697.

LCM(8607,8613) = 24710697

LCM of 8607 and 8613

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

LCM of:
and

Least Common Multiple of 8607 and 8613

LCM of 8607 and 8613 is 24710697

Least common multiple can be found by multiplying the highest exponent prime factors of 8607 and 8613. First we will calculate the prime factors of 8607 and 8613.

Prime Factorization of 8607


3 8607
19 2869
151 151
1

Prime factors of 8607 are 3, 19,151. Prime factorization of 8607 in exponential form is:

8607 = 31×191×1511

Prime Factorization of 8613


3 8613
3 2871
3 957
11 319
29 29
1

Prime factors of 8613 are 3, 11,29. Prime factorization of 8613 in exponential form is:

8613 = 33×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8607 and 8613.

LCM(8607,8613) = 33×111×191×291×1511
LCM(8607,8613) = 24710697

Factors of 8607

List of positive integer factors of 8607 that divides 8607 without a remainder.

1, 3, 19, 57, 151, 453, 2869, 8607

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613

Least Common Multiple of 8607 and 8613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8607 and 8613, than apply into the LCM equation.

GCF(8607,8613) = 3
LCM(8607,8613) = ( 8607 × 8613) / 3
LCM(8607,8613) = 74132091 / 3
LCM(8607,8613) = 24710697

Properties of LCM 8607 and 8613

(i) The LCM of 8613 and 8607 is associative

LCM of 8607 and 8613 = LCM of 8613 and 8607

Related Least Common Multiples of 8607

Related Least Common Multiples of 8613

Frequently Asked Questions on LCM of 8607 and 8613

1. What is the LCM of 8607 and 8613?

Answer: LCM of 8607 and 8613 is 24710697.

2. What are the Factors of 8607?

Answer: Factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607. There are 8 integers that are factors of 8607. The greatest factor of 8607 is 8607.

3. What are the Factors of 8613?

Answer: Factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613. There are 16 integers that are factors of 8613. The greatest factor of 8613 is 8613.

4. How to Find the LCM of 8607 and 8613?

Answer:

Least Common Multiple of 8607 and 8613 = 24710697

Step 1: Find the prime factorization of 8607

8607 = 3 x 19 x 151

Step 2: Find the prime factorization of 8613

8613 = 3 x 3 x 3 x 11 x 29

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

LCM = 24710697 = 3 x 3 x 3 x 11 x 19 x 29 x 151

Step 4: Therefore, the least common multiple of 8607 and 8613 is 24710697.