Least Common Multiple of 9689 and 9693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9689 and 9693 the smallest integer that is 93915477 that is divisible by both numbers.

Least Common Multiple (LCM) of 9689 and 9693 is 93915477.

LCM(9689,9693) = 93915477

LCM of 9689 and 9693

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

LCM of:
and

Least Common Multiple of 9689 and 9693

LCM of 9689 and 9693 is 93915477

Least common multiple can be found by multiplying the highest exponent prime factors of 9689 and 9693. First we will calculate the prime factors of 9689 and 9693.

Prime Factorization of 9689


9689 9689
1

Prime factors of 9689 are 9689. Prime factorization of 9689 in exponential form is:

9689 = 96891

Prime Factorization of 9693


3 9693
3 3231
3 1077
359 359
1

Prime factors of 9693 are 3,359. Prime factorization of 9693 in exponential form is:

9693 = 33×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 9689 and 9693.

LCM(9689,9693) = 33×3591×96891
LCM(9689,9693) = 93915477

Factors of 9689

List of positive integer factors of 9689 that divides 9689 without a remainder.

1, 9689

Factors of 9693

List of positive integer factors of 9693 that divides 9693 without a remainder.

1, 3, 9, 27, 359, 1077, 3231, 9693

Least Common Multiple of 9689 and 9693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9689 and 9693, than apply into the LCM equation.

GCF(9689,9693) = 1
LCM(9689,9693) = ( 9689 × 9693) / 1
LCM(9689,9693) = 93915477 / 1
LCM(9689,9693) = 93915477

Properties of LCM 9689 and 9693

(i) The LCM of 9693 and 9689 is associative

LCM of 9689 and 9693 = LCM of 9693 and 9689

Related Least Common Multiples of 9689

Related Least Common Multiples of 9693

Frequently Asked Questions on LCM of 9689 and 9693

1. What is the LCM of 9689 and 9693?

Answer: LCM of 9689 and 9693 is 93915477.

2. What are the Factors of 9689?

Answer: Factors of 9689 are 1, 9689. There are 2 integers that are factors of 9689. The greatest factor of 9689 is 9689.

3. What are the Factors of 9693?

Answer: Factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693. There are 8 integers that are factors of 9693. The greatest factor of 9693 is 9693.

4. How to Find the LCM of 9689 and 9693?

Answer:

Least Common Multiple of 9689 and 9693 = 93915477

Step 1: Find the prime factorization of 9689

9689 = 9689

Step 2: Find the prime factorization of 9693

9693 = 3 x 3 x 3 x 359

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

LCM = 93915477 = 3 x 3 x 3 x 359 x 9689

Step 4: Therefore, the least common multiple of 9689 and 9693 is 93915477.