Least Common Multiple of 9694 and 9699

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 9699 the smallest integer that is 94022106 that is divisible by both numbers.

Least Common Multiple (LCM) of 9694 and 9699 is 94022106.

LCM(9694,9699) = 94022106

LCM of 9694 and 9699

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

LCM of:
and

Least Common Multiple of 9694 and 9699

LCM of 9694 and 9699 is 94022106

Least common multiple can be found by multiplying the highest exponent prime factors of 9694 and 9699. First we will calculate the prime factors of 9694 and 9699.

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 9699


3 9699
53 3233
61 61
1

Prime factors of 9699 are 3, 53,61. Prime factorization of 9699 in exponential form is:

9699 = 31×531×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9694 and 9699.

LCM(9694,9699) = 21×31×371×531×611×1311
LCM(9694,9699) = 94022106

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 9699

List of positive integer factors of 9699 that divides 9699 without a remainder.

1, 3, 53, 61, 159, 183, 3233, 9699

Least Common Multiple of 9694 and 9699 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 9699, than apply into the LCM equation.

GCF(9694,9699) = 1
LCM(9694,9699) = ( 9694 × 9699) / 1
LCM(9694,9699) = 94022106 / 1
LCM(9694,9699) = 94022106

Properties of LCM 9694 and 9699

(i) The LCM of 9699 and 9694 is associative

LCM of 9694 and 9699 = LCM of 9699 and 9694

Related Least Common Multiples of 9694

Related Least Common Multiples of 9699

Frequently Asked Questions on LCM of 9694 and 9699

1. What is the LCM of 9694 and 9699?

Answer: LCM of 9694 and 9699 is 94022106.

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 9699?

Answer: Factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699. There are 8 integers that are factors of 9699. The greatest factor of 9699 is 9699.

4. How to Find the LCM of 9694 and 9699?

Answer:

Least Common Multiple of 9694 and 9699 = 94022106

Step 1: Find the prime factorization of 9694

9694 = 2 x 37 x 131

Step 2: Find the prime factorization of 9699

9699 = 3 x 53 x 61

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

LCM = 94022106 = 2 x 3 x 37 x 53 x 61 x 131

Step 4: Therefore, the least common multiple of 9694 and 9699 is 94022106.