Least Common Multiple of 9692 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 9692 and 9696 the smallest integer that is 23493408 that is divisible by both numbers.

Least Common Multiple (LCM) of 9692 and 9696 is 23493408.

LCM(9692,9696) = 23493408

LCM of 9692 and 9696

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

LCM of:
and

Least Common Multiple of 9692 and 9696

LCM of 9692 and 9696 is 23493408

Least common multiple can be found by multiplying the highest exponent prime factors of 9692 and 9696. First we will calculate the prime factors of 9692 and 9696.

Prime Factorization of 9692


2 9692
2 4846
2423 2423
1

Prime factors of 9692 are 2,2423. Prime factorization of 9692 in exponential form is:

9692 = 22×24231

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 9692 and 9696.

LCM(9692,9696) = 25×31×1011×24231
LCM(9692,9696) = 23493408

Factors of 9692

List of positive integer factors of 9692 that divides 9692 without a remainder.

1, 2, 4, 2423, 4846, 9692

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 9692 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 9692 and 9696, than apply into the LCM equation.

GCF(9692,9696) = 4
LCM(9692,9696) = ( 9692 × 9696) / 4
LCM(9692,9696) = 93973632 / 4
LCM(9692,9696) = 23493408

Properties of LCM 9692 and 9696

(i) The LCM of 9696 and 9692 is associative

LCM of 9692 and 9696 = LCM of 9696 and 9692

Related Least Common Multiples of 9692

Related Least Common Multiples of 9696

Frequently Asked Questions on LCM of 9692 and 9696

1. What is the LCM of 9692 and 9696?

Answer: LCM of 9692 and 9696 is 23493408.

2. What are the Factors of 9692?

Answer: Factors of 9692 are 1, 2, 4, 2423, 4846, 9692. There are 6 integers that are factors of 9692. The greatest factor of 9692 is 9692.

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 9692 and 9696?

Answer:

Least Common Multiple of 9692 and 9696 = 23493408

Step 1: Find the prime factorization of 9692

9692 = 2 x 2 x 2423

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 = 23493408 = 2 x 2 x 2 x 2 x 2 x 3 x 101 x 2423

Step 4: Therefore, the least common multiple of 9692 and 9696 is 23493408.