Least Common Multiple of 9708 and 9714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9708 and 9714 the smallest integer that is 15717252 that is divisible by both numbers.

Least Common Multiple (LCM) of 9708 and 9714 is 15717252.

LCM(9708,9714) = 15717252

LCM of 9708 and 9714

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

LCM of:
and

Least Common Multiple of 9708 and 9714

LCM of 9708 and 9714 is 15717252

Least common multiple can be found by multiplying the highest exponent prime factors of 9708 and 9714. First we will calculate the prime factors of 9708 and 9714.

Prime Factorization of 9708


2 9708
2 4854
3 2427
809 809
1

Prime factors of 9708 are 2, 3,809. Prime factorization of 9708 in exponential form is:

9708 = 22×31×8091

Prime Factorization of 9714


2 9714
3 4857
1619 1619
1

Prime factors of 9714 are 2, 3,1619. Prime factorization of 9714 in exponential form is:

9714 = 21×31×16191

Now multiplying the highest exponent prime factors to calculate the LCM of 9708 and 9714.

LCM(9708,9714) = 22×31×8091×16191
LCM(9708,9714) = 15717252

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1, 2, 3, 6, 1619, 3238, 4857, 9714

Least Common Multiple of 9708 and 9714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9708 and 9714, than apply into the LCM equation.

GCF(9708,9714) = 6
LCM(9708,9714) = ( 9708 × 9714) / 6
LCM(9708,9714) = 94303512 / 6
LCM(9708,9714) = 15717252

Properties of LCM 9708 and 9714

(i) The LCM of 9714 and 9708 is associative

LCM of 9708 and 9714 = LCM of 9714 and 9708

Related Least Common Multiples of 9708

Related Least Common Multiples of 9714

Frequently Asked Questions on LCM of 9708 and 9714

1. What is the LCM of 9708 and 9714?

Answer: LCM of 9708 and 9714 is 15717252.

2. What are the Factors of 9708?

Answer: Factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708. There are 12 integers that are factors of 9708. The greatest factor of 9708 is 9708.

3. What are the Factors of 9714?

Answer: Factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714. There are 8 integers that are factors of 9714. The greatest factor of 9714 is 9714.

4. How to Find the LCM of 9708 and 9714?

Answer:

Least Common Multiple of 9708 and 9714 = 15717252

Step 1: Find the prime factorization of 9708

9708 = 2 x 2 x 3 x 809

Step 2: Find the prime factorization of 9714

9714 = 2 x 3 x 1619

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

LCM = 15717252 = 2 x 2 x 3 x 809 x 1619

Step 4: Therefore, the least common multiple of 9708 and 9714 is 15717252.