Least Common Multiple of 9756 and 9762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9756 and 9762 the smallest integer that is 15873012 that is divisible by both numbers.

Least Common Multiple (LCM) of 9756 and 9762 is 15873012.

LCM(9756,9762) = 15873012

LCM of 9756 and 9762

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

LCM of:
and

Least Common Multiple of 9756 and 9762

LCM of 9756 and 9762 is 15873012

Least common multiple can be found by multiplying the highest exponent prime factors of 9756 and 9762. First we will calculate the prime factors of 9756 and 9762.

Prime Factorization of 9756


2 9756
2 4878
3 2439
3 813
271 271
1

Prime factors of 9756 are 2, 3,271. Prime factorization of 9756 in exponential form is:

9756 = 22×32×2711

Prime Factorization of 9762


2 9762
3 4881
1627 1627
1

Prime factors of 9762 are 2, 3,1627. Prime factorization of 9762 in exponential form is:

9762 = 21×31×16271

Now multiplying the highest exponent prime factors to calculate the LCM of 9756 and 9762.

LCM(9756,9762) = 22×32×2711×16271
LCM(9756,9762) = 15873012

Factors of 9756

List of positive integer factors of 9756 that divides 9756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756

Factors of 9762

List of positive integer factors of 9762 that divides 9762 without a remainder.

1, 2, 3, 6, 1627, 3254, 4881, 9762

Least Common Multiple of 9756 and 9762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9756 and 9762, than apply into the LCM equation.

GCF(9756,9762) = 6
LCM(9756,9762) = ( 9756 × 9762) / 6
LCM(9756,9762) = 95238072 / 6
LCM(9756,9762) = 15873012

Properties of LCM 9756 and 9762

(i) The LCM of 9762 and 9756 is associative

LCM of 9756 and 9762 = LCM of 9762 and 9756

Related Least Common Multiples of 9756

Related Least Common Multiples of 9762

Frequently Asked Questions on LCM of 9756 and 9762

1. What is the LCM of 9756 and 9762?

Answer: LCM of 9756 and 9762 is 15873012.

2. What are the Factors of 9756?

Answer: Factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756. There are 18 integers that are factors of 9756. The greatest factor of 9756 is 9756.

3. What are the Factors of 9762?

Answer: Factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762. There are 8 integers that are factors of 9762. The greatest factor of 9762 is 9762.

4. How to Find the LCM of 9756 and 9762?

Answer:

Least Common Multiple of 9756 and 9762 = 15873012

Step 1: Find the prime factorization of 9756

9756 = 2 x 2 x 3 x 3 x 271

Step 2: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

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

LCM = 15873012 = 2 x 2 x 3 x 3 x 271 x 1627

Step 4: Therefore, the least common multiple of 9756 and 9762 is 15873012.