Least Common Multiple of 9693 and 9700

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 9700 the smallest integer that is 94022100 that is divisible by both numbers.

Least Common Multiple (LCM) of 9693 and 9700 is 94022100.

LCM(9693,9700) = 94022100

LCM of 9693 and 9700

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

LCM of:
and

Least Common Multiple of 9693 and 9700

LCM of 9693 and 9700 is 94022100

Least common multiple can be found by multiplying the highest exponent prime factors of 9693 and 9700. First we will calculate the prime factors of 9693 and 9700.

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 9700


2 9700
2 4850
5 2425
5 485
97 97
1

Prime factors of 9700 are 2, 5,97. Prime factorization of 9700 in exponential form is:

9700 = 22×52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9693 and 9700.

LCM(9693,9700) = 22×33×52×971×3591
LCM(9693,9700) = 94022100

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 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700

Least Common Multiple of 9693 and 9700 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 9700, than apply into the LCM equation.

GCF(9693,9700) = 1
LCM(9693,9700) = ( 9693 × 9700) / 1
LCM(9693,9700) = 94022100 / 1
LCM(9693,9700) = 94022100

Properties of LCM 9693 and 9700

(i) The LCM of 9700 and 9693 is associative

LCM of 9693 and 9700 = LCM of 9700 and 9693

Related Least Common Multiples of 9693

Related Least Common Multiples of 9700

Frequently Asked Questions on LCM of 9693 and 9700

1. What is the LCM of 9693 and 9700?

Answer: LCM of 9693 and 9700 is 94022100.

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 9700?

Answer: Factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700. There are 18 integers that are factors of 9700. The greatest factor of 9700 is 9700.

4. How to Find the LCM of 9693 and 9700?

Answer:

Least Common Multiple of 9693 and 9700 = 94022100

Step 1: Find the prime factorization of 9693

9693 = 3 x 3 x 3 x 359

Step 2: Find the prime factorization of 9700

9700 = 2 x 2 x 5 x 5 x 97

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

LCM = 94022100 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 97 x 359

Step 4: Therefore, the least common multiple of 9693 and 9700 is 94022100.