Least Common Multiple of 9690 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 9690 and 9696 the smallest integer that is 15659040 that is divisible by both numbers.

Least Common Multiple (LCM) of 9690 and 9696 is 15659040.

LCM(9690,9696) = 15659040

LCM of 9690 and 9696

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

LCM of:
and

Least Common Multiple of 9690 and 9696

LCM of 9690 and 9696 is 15659040

Least common multiple can be found by multiplying the highest exponent prime factors of 9690 and 9696. First we will calculate the prime factors of 9690 and 9696.

Prime Factorization of 9690


2 9690
3 4845
5 1615
17 323
19 19
1

Prime factors of 9690 are 2, 3, 5, 17,19. Prime factorization of 9690 in exponential form is:

9690 = 21×31×51×171×191

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 9690 and 9696.

LCM(9690,9696) = 25×31×51×171×191×1011
LCM(9690,9696) = 15659040

Factors of 9690

List of positive integer factors of 9690 that divides 9690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690

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 9690 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 9690 and 9696, than apply into the LCM equation.

GCF(9690,9696) = 6
LCM(9690,9696) = ( 9690 × 9696) / 6
LCM(9690,9696) = 93954240 / 6
LCM(9690,9696) = 15659040

Properties of LCM 9690 and 9696

(i) The LCM of 9696 and 9690 is associative

LCM of 9690 and 9696 = LCM of 9696 and 9690

Related Least Common Multiples of 9690

Related Least Common Multiples of 9696

Frequently Asked Questions on LCM of 9690 and 9696

1. What is the LCM of 9690 and 9696?

Answer: LCM of 9690 and 9696 is 15659040.

2. What are the Factors of 9690?

Answer: Factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690. There are 32 integers that are factors of 9690. The greatest factor of 9690 is 9690.

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 9690 and 9696?

Answer:

Least Common Multiple of 9690 and 9696 = 15659040

Step 1: Find the prime factorization of 9690

9690 = 2 x 3 x 5 x 17 x 19

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 = 15659040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 19 x 101

Step 4: Therefore, the least common multiple of 9690 and 9696 is 15659040.