Least Common Multiple of 8702 and 8709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8702 and 8709 the smallest integer that is 75785718 that is divisible by both numbers.

Least Common Multiple (LCM) of 8702 and 8709 is 75785718.

LCM(8702,8709) = 75785718

LCM of 8702 and 8709

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

LCM of:
and

Least Common Multiple of 8702 and 8709

LCM of 8702 and 8709 is 75785718

Least common multiple can be found by multiplying the highest exponent prime factors of 8702 and 8709. First we will calculate the prime factors of 8702 and 8709.

Prime Factorization of 8702


2 8702
19 4351
229 229
1

Prime factors of 8702 are 2, 19,229. Prime factorization of 8702 in exponential form is:

8702 = 21×191×2291

Prime Factorization of 8709


3 8709
2903 2903
1

Prime factors of 8709 are 3,2903. Prime factorization of 8709 in exponential form is:

8709 = 31×29031

Now multiplying the highest exponent prime factors to calculate the LCM of 8702 and 8709.

LCM(8702,8709) = 21×31×191×2291×29031
LCM(8702,8709) = 75785718

Factors of 8702

List of positive integer factors of 8702 that divides 8702 without a remainder.

1, 2, 19, 38, 229, 458, 4351, 8702

Factors of 8709

List of positive integer factors of 8709 that divides 8709 without a remainder.

1, 3, 2903, 8709

Least Common Multiple of 8702 and 8709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8702 and 8709, than apply into the LCM equation.

GCF(8702,8709) = 1
LCM(8702,8709) = ( 8702 × 8709) / 1
LCM(8702,8709) = 75785718 / 1
LCM(8702,8709) = 75785718

Properties of LCM 8702 and 8709

(i) The LCM of 8709 and 8702 is associative

LCM of 8702 and 8709 = LCM of 8709 and 8702

Related Least Common Multiples of 8702

Related Least Common Multiples of 8709

Frequently Asked Questions on LCM of 8702 and 8709

1. What is the LCM of 8702 and 8709?

Answer: LCM of 8702 and 8709 is 75785718.

2. What are the Factors of 8702?

Answer: Factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702. There are 8 integers that are factors of 8702. The greatest factor of 8702 is 8702.

3. What are the Factors of 8709?

Answer: Factors of 8709 are 1, 3, 2903, 8709. There are 4 integers that are factors of 8709. The greatest factor of 8709 is 8709.

4. How to Find the LCM of 8702 and 8709?

Answer:

Least Common Multiple of 8702 and 8709 = 75785718

Step 1: Find the prime factorization of 8702

8702 = 2 x 19 x 229

Step 2: Find the prime factorization of 8709

8709 = 3 x 2903

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

LCM = 75785718 = 2 x 3 x 19 x 229 x 2903

Step 4: Therefore, the least common multiple of 8702 and 8709 is 75785718.