Least Common Multiple of 9694 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 9694 and 9700 the smallest integer that is 47015900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9694 and 9700 is 47015900.

LCM(9694,9700) = 47015900

LCM of 9694 and 9700

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

LCM of:
and

Least Common Multiple of 9694 and 9700

LCM of 9694 and 9700 is 47015900

Least common multiple can be found by multiplying the highest exponent prime factors of 9694 and 9700. First we will calculate the prime factors of 9694 and 9700.

Prime Factorization of 9694


2 9694
37 4847
131 131
1

Prime factors of 9694 are 2, 37,131. Prime factorization of 9694 in exponential form is:

9694 = 21×371×1311

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 9694 and 9700.

LCM(9694,9700) = 22×52×371×971×1311
LCM(9694,9700) = 47015900

Factors of 9694

List of positive integer factors of 9694 that divides 9694 without a remainder.

1, 2, 37, 74, 131, 262, 4847, 9694

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 9694 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 9694 and 9700, than apply into the LCM equation.

GCF(9694,9700) = 2
LCM(9694,9700) = ( 9694 × 9700) / 2
LCM(9694,9700) = 94031800 / 2
LCM(9694,9700) = 47015900

Properties of LCM 9694 and 9700

(i) The LCM of 9700 and 9694 is associative

LCM of 9694 and 9700 = LCM of 9700 and 9694

Related Least Common Multiples of 9694

Related Least Common Multiples of 9700

Frequently Asked Questions on LCM of 9694 and 9700

1. What is the LCM of 9694 and 9700?

Answer: LCM of 9694 and 9700 is 47015900.

2. What are the Factors of 9694?

Answer: Factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694. There are 8 integers that are factors of 9694. The greatest factor of 9694 is 9694.

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 9694 and 9700?

Answer:

Least Common Multiple of 9694 and 9700 = 47015900

Step 1: Find the prime factorization of 9694

9694 = 2 x 37 x 131

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 = 47015900 = 2 x 2 x 5 x 5 x 37 x 97 x 131

Step 4: Therefore, the least common multiple of 9694 and 9700 is 47015900.