Least Common Multiple of 9677 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 9677 and 9684 the smallest integer that is 93712068 that is divisible by both numbers.

Least Common Multiple (LCM) of 9677 and 9684 is 93712068.

LCM(9677,9684) = 93712068

LCM of 9677 and 9684

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

LCM of:
and

Least Common Multiple of 9677 and 9684

LCM of 9677 and 9684 is 93712068

Least common multiple can be found by multiplying the highest exponent prime factors of 9677 and 9684. First we will calculate the prime factors of 9677 and 9684.

Prime Factorization of 9677


9677 9677
1

Prime factors of 9677 are 9677. Prime factorization of 9677 in exponential form is:

9677 = 96771

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 9677 and 9684.

LCM(9677,9684) = 22×32×2691×96771
LCM(9677,9684) = 93712068

Factors of 9677

List of positive integer factors of 9677 that divides 9677 without a remainder.

1, 9677

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 9677 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 9677 and 9684, than apply into the LCM equation.

GCF(9677,9684) = 1
LCM(9677,9684) = ( 9677 × 9684) / 1
LCM(9677,9684) = 93712068 / 1
LCM(9677,9684) = 93712068

Properties of LCM 9677 and 9684

(i) The LCM of 9684 and 9677 is associative

LCM of 9677 and 9684 = LCM of 9684 and 9677

Related Least Common Multiples of 9677

Related Least Common Multiples of 9684

Frequently Asked Questions on LCM of 9677 and 9684

1. What is the LCM of 9677 and 9684?

Answer: LCM of 9677 and 9684 is 93712068.

2. What are the Factors of 9677?

Answer: Factors of 9677 are 1, 9677. There are 2 integers that are factors of 9677. The greatest factor of 9677 is 9677.

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 9677 and 9684?

Answer:

Least Common Multiple of 9677 and 9684 = 93712068

Step 1: Find the prime factorization of 9677

9677 = 9677

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 = 93712068 = 2 x 2 x 3 x 3 x 269 x 9677

Step 4: Therefore, the least common multiple of 9677 and 9684 is 93712068.