Least Common Multiple of 8695 and 8702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8695 and 8702 the smallest integer that is 75663890 that is divisible by both numbers.

Least Common Multiple (LCM) of 8695 and 8702 is 75663890.

LCM(8695,8702) = 75663890

LCM of 8695 and 8702

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

LCM of:
and

Least Common Multiple of 8695 and 8702

LCM of 8695 and 8702 is 75663890

Least common multiple can be found by multiplying the highest exponent prime factors of 8695 and 8702. First we will calculate the prime factors of 8695 and 8702.

Prime Factorization of 8695


5 8695
37 1739
47 47
1

Prime factors of 8695 are 5, 37,47. Prime factorization of 8695 in exponential form is:

8695 = 51×371×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8695 and 8702.

LCM(8695,8702) = 21×51×191×371×471×2291
LCM(8695,8702) = 75663890

Factors of 8695

List of positive integer factors of 8695 that divides 8695 without a remainder.

1, 5, 37, 47, 185, 235, 1739, 8695

Factors of 8702

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

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

Least Common Multiple of 8695 and 8702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8695 and 8702, than apply into the LCM equation.

GCF(8695,8702) = 1
LCM(8695,8702) = ( 8695 × 8702) / 1
LCM(8695,8702) = 75663890 / 1
LCM(8695,8702) = 75663890

Properties of LCM 8695 and 8702

(i) The LCM of 8702 and 8695 is associative

LCM of 8695 and 8702 = LCM of 8702 and 8695

Related Least Common Multiples of 8695

Related Least Common Multiples of 8702

Frequently Asked Questions on LCM of 8695 and 8702

1. What is the LCM of 8695 and 8702?

Answer: LCM of 8695 and 8702 is 75663890.

2. What are the Factors of 8695?

Answer: Factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695. There are 8 integers that are factors of 8695. The greatest factor of 8695 is 8695.

3. 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.

4. How to Find the LCM of 8695 and 8702?

Answer:

Least Common Multiple of 8695 and 8702 = 75663890

Step 1: Find the prime factorization of 8695

8695 = 5 x 37 x 47

Step 2: Find the prime factorization of 8702

8702 = 2 x 19 x 229

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

LCM = 75663890 = 2 x 5 x 19 x 37 x 47 x 229

Step 4: Therefore, the least common multiple of 8695 and 8702 is 75663890.