Least Common Multiple of 9678 and 9684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9678 and 9684 the smallest integer that is 15620292 that is divisible by both numbers.

Least Common Multiple (LCM) of 9678 and 9684 is 15620292.

LCM(9678,9684) = 15620292

LCM of 9678 and 9684

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

LCM of:
and

Least Common Multiple of 9678 and 9684

LCM of 9678 and 9684 is 15620292

Least common multiple can be found by multiplying the highest exponent prime factors of 9678 and 9684. First we will calculate the prime factors of 9678 and 9684.

Prime Factorization of 9678


2 9678
3 4839
1613 1613
1

Prime factors of 9678 are 2, 3,1613. Prime factorization of 9678 in exponential form is:

9678 = 21×31×16131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9678 and 9684.

LCM(9678,9684) = 22×32×2691×16131
LCM(9678,9684) = 15620292

Factors of 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1, 2, 3, 6, 1613, 3226, 4839, 9678

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

Least Common Multiple of 9678 and 9684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9678 and 9684, than apply into the LCM equation.

GCF(9678,9684) = 6
LCM(9678,9684) = ( 9678 × 9684) / 6
LCM(9678,9684) = 93721752 / 6
LCM(9678,9684) = 15620292

Properties of LCM 9678 and 9684

(i) The LCM of 9684 and 9678 is associative

LCM of 9678 and 9684 = LCM of 9684 and 9678

Related Least Common Multiples of 9678

Related Least Common Multiples of 9684

Frequently Asked Questions on LCM of 9678 and 9684

1. What is the LCM of 9678 and 9684?

Answer: LCM of 9678 and 9684 is 15620292.

2. What are the Factors of 9678?

Answer: Factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678. There are 8 integers that are factors of 9678. The greatest factor of 9678 is 9678.

3. 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.

4. How to Find the LCM of 9678 and 9684?

Answer:

Least Common Multiple of 9678 and 9684 = 15620292

Step 1: Find the prime factorization of 9678

9678 = 2 x 3 x 1613

Step 2: Find the prime factorization of 9684

9684 = 2 x 2 x 3 x 3 x 269

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

LCM = 15620292 = 2 x 2 x 3 x 3 x 269 x 1613

Step 4: Therefore, the least common multiple of 9678 and 9684 is 15620292.