Least Common Multiple of 9693 and 9697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9693 and 9697 the smallest integer that is 93993021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9693 and 9697 is 93993021.

LCM(9693,9697) = 93993021

LCM of 9693 and 9697

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

LCM of:
and

Least Common Multiple of 9693 and 9697

LCM of 9693 and 9697 is 93993021

Least common multiple can be found by multiplying the highest exponent prime factors of 9693 and 9697. First we will calculate the prime factors of 9693 and 9697.

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

Prime Factorization of 9697


9697 9697
1

Prime factors of 9697 are 9697. Prime factorization of 9697 in exponential form is:

9697 = 96971

Now multiplying the highest exponent prime factors to calculate the LCM of 9693 and 9697.

LCM(9693,9697) = 33×3591×96971
LCM(9693,9697) = 93993021

Factors of 9693

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

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

Factors of 9697

List of positive integer factors of 9697 that divides 9697 without a remainder.

1, 9697

Least Common Multiple of 9693 and 9697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9693 and 9697, than apply into the LCM equation.

GCF(9693,9697) = 1
LCM(9693,9697) = ( 9693 × 9697) / 1
LCM(9693,9697) = 93993021 / 1
LCM(9693,9697) = 93993021

Properties of LCM 9693 and 9697

(i) The LCM of 9697 and 9693 is associative

LCM of 9693 and 9697 = LCM of 9697 and 9693

Related Least Common Multiples of 9693

Related Least Common Multiples of 9697

Frequently Asked Questions on LCM of 9693 and 9697

1. What is the LCM of 9693 and 9697?

Answer: LCM of 9693 and 9697 is 93993021.

2. 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.

3. What are the Factors of 9697?

Answer: Factors of 9697 are 1, 9697. There are 2 integers that are factors of 9697. The greatest factor of 9697 is 9697.

4. How to Find the LCM of 9693 and 9697?

Answer:

Least Common Multiple of 9693 and 9697 = 93993021

Step 1: Find the prime factorization of 9693

9693 = 3 x 3 x 3 x 359

Step 2: Find the prime factorization of 9697

9697 = 9697

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

LCM = 93993021 = 3 x 3 x 3 x 359 x 9697

Step 4: Therefore, the least common multiple of 9693 and 9697 is 93993021.