Least Common Multiple of 9694 and 9696

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 9696 the smallest integer that is 46996512 that is divisible by both numbers.

Least Common Multiple (LCM) of 9694 and 9696 is 46996512.

LCM(9694,9696) = 46996512

LCM of 9694 and 9696

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

LCM of:
and

Least Common Multiple of 9694 and 9696

LCM of 9694 and 9696 is 46996512

Least common multiple can be found by multiplying the highest exponent prime factors of 9694 and 9696. First we will calculate the prime factors of 9694 and 9696.

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 9696


2 9696
2 4848
2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 9696 are 2, 3,101. Prime factorization of 9696 in exponential form is:

9696 = 25×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9694 and 9696.

LCM(9694,9696) = 25×31×371×1011×1311
LCM(9694,9696) = 46996512

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 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696

Least Common Multiple of 9694 and 9696 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 9696, than apply into the LCM equation.

GCF(9694,9696) = 2
LCM(9694,9696) = ( 9694 × 9696) / 2
LCM(9694,9696) = 93993024 / 2
LCM(9694,9696) = 46996512

Properties of LCM 9694 and 9696

(i) The LCM of 9696 and 9694 is associative

LCM of 9694 and 9696 = LCM of 9696 and 9694

Related Least Common Multiples of 9694

Related Least Common Multiples of 9696

Frequently Asked Questions on LCM of 9694 and 9696

1. What is the LCM of 9694 and 9696?

Answer: LCM of 9694 and 9696 is 46996512.

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 9696?

Answer: Factors of 9696 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696. There are 24 integers that are factors of 9696. The greatest factor of 9696 is 9696.

4. How to Find the LCM of 9694 and 9696?

Answer:

Least Common Multiple of 9694 and 9696 = 46996512

Step 1: Find the prime factorization of 9694

9694 = 2 x 37 x 131

Step 2: Find the prime factorization of 9696

9696 = 2 x 2 x 2 x 2 x 2 x 3 x 101

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

LCM = 46996512 = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 101 x 131

Step 4: Therefore, the least common multiple of 9694 and 9696 is 46996512.