Least Common Multiple of 8696 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 8696 and 8702 the smallest integer that is 37836296 that is divisible by both numbers.

Least Common Multiple (LCM) of 8696 and 8702 is 37836296.

LCM(8696,8702) = 37836296

LCM of 8696 and 8702

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

LCM of:
and

Least Common Multiple of 8696 and 8702

LCM of 8696 and 8702 is 37836296

Least common multiple can be found by multiplying the highest exponent prime factors of 8696 and 8702. First we will calculate the prime factors of 8696 and 8702.

Prime Factorization of 8696


2 8696
2 4348
2 2174
1087 1087
1

Prime factors of 8696 are 2,1087. Prime factorization of 8696 in exponential form is:

8696 = 23×10871

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 8696 and 8702.

LCM(8696,8702) = 23×191×2291×10871
LCM(8696,8702) = 37836296

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1, 2, 4, 8, 1087, 2174, 4348, 8696

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 8696 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 8696 and 8702, than apply into the LCM equation.

GCF(8696,8702) = 2
LCM(8696,8702) = ( 8696 × 8702) / 2
LCM(8696,8702) = 75672592 / 2
LCM(8696,8702) = 37836296

Properties of LCM 8696 and 8702

(i) The LCM of 8702 and 8696 is associative

LCM of 8696 and 8702 = LCM of 8702 and 8696

Related Least Common Multiples of 8696

Related Least Common Multiples of 8702

Frequently Asked Questions on LCM of 8696 and 8702

1. What is the LCM of 8696 and 8702?

Answer: LCM of 8696 and 8702 is 37836296.

2. What are the Factors of 8696?

Answer: Factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696. There are 8 integers that are factors of 8696. The greatest factor of 8696 is 8696.

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 8696 and 8702?

Answer:

Least Common Multiple of 8696 and 8702 = 37836296

Step 1: Find the prime factorization of 8696

8696 = 2 x 2 x 2 x 1087

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 = 37836296 = 2 x 2 x 2 x 19 x 229 x 1087

Step 4: Therefore, the least common multiple of 8696 and 8702 is 37836296.