Least Common Multiple of 8693 and 8698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8693 and 8698 the smallest integer that is 75611714 that is divisible by both numbers.

Least Common Multiple (LCM) of 8693 and 8698 is 75611714.

LCM(8693,8698) = 75611714

LCM of 8693 and 8698

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

LCM of:
and

Least Common Multiple of 8693 and 8698

LCM of 8693 and 8698 is 75611714

Least common multiple can be found by multiplying the highest exponent prime factors of 8693 and 8698. First we will calculate the prime factors of 8693 and 8698.

Prime Factorization of 8693


8693 8693
1

Prime factors of 8693 are 8693. Prime factorization of 8693 in exponential form is:

8693 = 86931

Prime Factorization of 8698


2 8698
4349 4349
1

Prime factors of 8698 are 2,4349. Prime factorization of 8698 in exponential form is:

8698 = 21×43491

Now multiplying the highest exponent prime factors to calculate the LCM of 8693 and 8698.

LCM(8693,8698) = 21×43491×86931
LCM(8693,8698) = 75611714

Factors of 8693

List of positive integer factors of 8693 that divides 8693 without a remainder.

1, 8693

Factors of 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1, 2, 4349, 8698

Least Common Multiple of 8693 and 8698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8693 and 8698, than apply into the LCM equation.

GCF(8693,8698) = 1
LCM(8693,8698) = ( 8693 × 8698) / 1
LCM(8693,8698) = 75611714 / 1
LCM(8693,8698) = 75611714

Properties of LCM 8693 and 8698

(i) The LCM of 8698 and 8693 is associative

LCM of 8693 and 8698 = LCM of 8698 and 8693

Related Least Common Multiples of 8693

Related Least Common Multiples of 8698

Frequently Asked Questions on LCM of 8693 and 8698

1. What is the LCM of 8693 and 8698?

Answer: LCM of 8693 and 8698 is 75611714.

2. What are the Factors of 8693?

Answer: Factors of 8693 are 1, 8693. There are 2 integers that are factors of 8693. The greatest factor of 8693 is 8693.

3. What are the Factors of 8698?

Answer: Factors of 8698 are 1, 2, 4349, 8698. There are 4 integers that are factors of 8698. The greatest factor of 8698 is 8698.

4. How to Find the LCM of 8693 and 8698?

Answer:

Least Common Multiple of 8693 and 8698 = 75611714

Step 1: Find the prime factorization of 8693

8693 = 8693

Step 2: Find the prime factorization of 8698

8698 = 2 x 4349

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

LCM = 75611714 = 2 x 4349 x 8693

Step 4: Therefore, the least common multiple of 8693 and 8698 is 75611714.