Least Common Multiple of 9694 and 9695

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 9695 the smallest integer that is 93983330 that is divisible by both numbers.

Least Common Multiple (LCM) of 9694 and 9695 is 93983330.

LCM(9694,9695) = 93983330

LCM of 9694 and 9695

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

LCM of:
and

Least Common Multiple of 9694 and 9695

LCM of 9694 and 9695 is 93983330

Least common multiple can be found by multiplying the highest exponent prime factors of 9694 and 9695. First we will calculate the prime factors of 9694 and 9695.

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 9695


5 9695
7 1939
277 277
1

Prime factors of 9695 are 5, 7,277. Prime factorization of 9695 in exponential form is:

9695 = 51×71×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 9694 and 9695.

LCM(9694,9695) = 21×51×71×371×1311×2771
LCM(9694,9695) = 93983330

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 9695

List of positive integer factors of 9695 that divides 9695 without a remainder.

1, 5, 7, 35, 277, 1385, 1939, 9695

Least Common Multiple of 9694 and 9695 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 9695, than apply into the LCM equation.

GCF(9694,9695) = 1
LCM(9694,9695) = ( 9694 × 9695) / 1
LCM(9694,9695) = 93983330 / 1
LCM(9694,9695) = 93983330

Properties of LCM 9694 and 9695

(i) The LCM of 9695 and 9694 is associative

LCM of 9694 and 9695 = LCM of 9695 and 9694

Related Least Common Multiples of 9694

Related Least Common Multiples of 9695

Frequently Asked Questions on LCM of 9694 and 9695

1. What is the LCM of 9694 and 9695?

Answer: LCM of 9694 and 9695 is 93983330.

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 9695?

Answer: Factors of 9695 are 1, 5, 7, 35, 277, 1385, 1939, 9695. There are 8 integers that are factors of 9695. The greatest factor of 9695 is 9695.

4. How to Find the LCM of 9694 and 9695?

Answer:

Least Common Multiple of 9694 and 9695 = 93983330

Step 1: Find the prime factorization of 9694

9694 = 2 x 37 x 131

Step 2: Find the prime factorization of 9695

9695 = 5 x 7 x 277

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

LCM = 93983330 = 2 x 5 x 7 x 37 x 131 x 277

Step 4: Therefore, the least common multiple of 9694 and 9695 is 93983330.