Least Common Multiple of 9707 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 9707 and 9714 the smallest integer that is 94293798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9707 and 9714 is 94293798.

LCM(9707,9714) = 94293798

LCM of 9707 and 9714

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

LCM of:
and

Least Common Multiple of 9707 and 9714

LCM of 9707 and 9714 is 94293798

Least common multiple can be found by multiplying the highest exponent prime factors of 9707 and 9714. First we will calculate the prime factors of 9707 and 9714.

Prime Factorization of 9707


17 9707
571 571
1

Prime factors of 9707 are 17,571. Prime factorization of 9707 in exponential form is:

9707 = 171×5711

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 9707 and 9714.

LCM(9707,9714) = 21×31×171×5711×16191
LCM(9707,9714) = 94293798

Factors of 9707

List of positive integer factors of 9707 that divides 9707 without a remainder.

1, 17, 571, 9707

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 9707 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 9707 and 9714, than apply into the LCM equation.

GCF(9707,9714) = 1
LCM(9707,9714) = ( 9707 × 9714) / 1
LCM(9707,9714) = 94293798 / 1
LCM(9707,9714) = 94293798

Properties of LCM 9707 and 9714

(i) The LCM of 9714 and 9707 is associative

LCM of 9707 and 9714 = LCM of 9714 and 9707

Related Least Common Multiples of 9707

Related Least Common Multiples of 9714

Frequently Asked Questions on LCM of 9707 and 9714

1. What is the LCM of 9707 and 9714?

Answer: LCM of 9707 and 9714 is 94293798.

2. What are the Factors of 9707?

Answer: Factors of 9707 are 1, 17, 571, 9707. There are 4 integers that are factors of 9707. The greatest factor of 9707 is 9707.

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 9707 and 9714?

Answer:

Least Common Multiple of 9707 and 9714 = 94293798

Step 1: Find the prime factorization of 9707

9707 = 17 x 571

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 = 94293798 = 2 x 3 x 17 x 571 x 1619

Step 4: Therefore, the least common multiple of 9707 and 9714 is 94293798.