Least Common Multiple of 9675 and 9682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9675 and 9682 the smallest integer that is 93673350 that is divisible by both numbers.

Least Common Multiple (LCM) of 9675 and 9682 is 93673350.

LCM(9675,9682) = 93673350

LCM of 9675 and 9682

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

LCM of:
and

Least Common Multiple of 9675 and 9682

LCM of 9675 and 9682 is 93673350

Least common multiple can be found by multiplying the highest exponent prime factors of 9675 and 9682. First we will calculate the prime factors of 9675 and 9682.

Prime Factorization of 9675


3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 9675 are 3, 5,43. Prime factorization of 9675 in exponential form is:

9675 = 32×52×431

Prime Factorization of 9682


2 9682
47 4841
103 103
1

Prime factors of 9682 are 2, 47,103. Prime factorization of 9682 in exponential form is:

9682 = 21×471×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9675 and 9682.

LCM(9675,9682) = 21×32×52×431×471×1031
LCM(9675,9682) = 93673350

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675

Factors of 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1, 2, 47, 94, 103, 206, 4841, 9682

Least Common Multiple of 9675 and 9682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9675 and 9682, than apply into the LCM equation.

GCF(9675,9682) = 1
LCM(9675,9682) = ( 9675 × 9682) / 1
LCM(9675,9682) = 93673350 / 1
LCM(9675,9682) = 93673350

Properties of LCM 9675 and 9682

(i) The LCM of 9682 and 9675 is associative

LCM of 9675 and 9682 = LCM of 9682 and 9675

Related Least Common Multiples of 9675

Related Least Common Multiples of 9682

Frequently Asked Questions on LCM of 9675 and 9682

1. What is the LCM of 9675 and 9682?

Answer: LCM of 9675 and 9682 is 93673350.

2. What are the Factors of 9675?

Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.

3. What are the Factors of 9682?

Answer: Factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682. There are 8 integers that are factors of 9682. The greatest factor of 9682 is 9682.

4. How to Find the LCM of 9675 and 9682?

Answer:

Least Common Multiple of 9675 and 9682 = 93673350

Step 1: Find the prime factorization of 9675

9675 = 3 x 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 9682

9682 = 2 x 47 x 103

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

LCM = 93673350 = 2 x 3 x 3 x 5 x 5 x 43 x 47 x 103

Step 4: Therefore, the least common multiple of 9675 and 9682 is 93673350.