Least Common Multiple of 9684 and 9692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9684 and 9692 the smallest integer that is 23464332 that is divisible by both numbers.

Least Common Multiple (LCM) of 9684 and 9692 is 23464332.

LCM(9684,9692) = 23464332

LCM of 9684 and 9692

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

LCM of:
and

Least Common Multiple of 9684 and 9692

LCM of 9684 and 9692 is 23464332

Least common multiple can be found by multiplying the highest exponent prime factors of 9684 and 9692. First we will calculate the prime factors of 9684 and 9692.

Prime Factorization of 9684


2 9684
2 4842
3 2421
3 807
269 269
1

Prime factors of 9684 are 2, 3,269. Prime factorization of 9684 in exponential form is:

9684 = 22×32×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9684 and 9692.

LCM(9684,9692) = 22×32×2691×24231
LCM(9684,9692) = 23464332

Factors of 9684

List of positive integer factors of 9684 that divides 9684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684

Factors of 9692

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

1, 2, 4, 2423, 4846, 9692

Least Common Multiple of 9684 and 9692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9684 and 9692, than apply into the LCM equation.

GCF(9684,9692) = 4
LCM(9684,9692) = ( 9684 × 9692) / 4
LCM(9684,9692) = 93857328 / 4
LCM(9684,9692) = 23464332

Properties of LCM 9684 and 9692

(i) The LCM of 9692 and 9684 is associative

LCM of 9684 and 9692 = LCM of 9692 and 9684

Related Least Common Multiples of 9684

Related Least Common Multiples of 9692

Frequently Asked Questions on LCM of 9684 and 9692

1. What is the LCM of 9684 and 9692?

Answer: LCM of 9684 and 9692 is 23464332.

2. What are the Factors of 9684?

Answer: Factors of 9684 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684. There are 18 integers that are factors of 9684. The greatest factor of 9684 is 9684.

3. 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.

4. How to Find the LCM of 9684 and 9692?

Answer:

Least Common Multiple of 9684 and 9692 = 23464332

Step 1: Find the prime factorization of 9684

9684 = 2 x 2 x 3 x 3 x 269

Step 2: Find the prime factorization of 9692

9692 = 2 x 2 x 2423

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

LCM = 23464332 = 2 x 2 x 3 x 3 x 269 x 2423

Step 4: Therefore, the least common multiple of 9684 and 9692 is 23464332.