Least Common Multiple of 9762 and 9766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9762 and 9766 the smallest integer that is 47667846 that is divisible by both numbers.

Least Common Multiple (LCM) of 9762 and 9766 is 47667846.

LCM(9762,9766) = 47667846

LCM of 9762 and 9766

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

LCM of:
and

Least Common Multiple of 9762 and 9766

LCM of 9762 and 9766 is 47667846

Least common multiple can be found by multiplying the highest exponent prime factors of 9762 and 9766. First we will calculate the prime factors of 9762 and 9766.

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

Prime Factorization of 9766


2 9766
19 4883
257 257
1

Prime factors of 9766 are 2, 19,257. Prime factorization of 9766 in exponential form is:

9766 = 21×191×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 9762 and 9766.

LCM(9762,9766) = 21×31×191×2571×16271
LCM(9762,9766) = 47667846

Factors of 9762

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

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

Factors of 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1, 2, 19, 38, 257, 514, 4883, 9766

Least Common Multiple of 9762 and 9766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9762 and 9766, than apply into the LCM equation.

GCF(9762,9766) = 2
LCM(9762,9766) = ( 9762 × 9766) / 2
LCM(9762,9766) = 95335692 / 2
LCM(9762,9766) = 47667846

Properties of LCM 9762 and 9766

(i) The LCM of 9766 and 9762 is associative

LCM of 9762 and 9766 = LCM of 9766 and 9762

Related Least Common Multiples of 9762

Related Least Common Multiples of 9766

Frequently Asked Questions on LCM of 9762 and 9766

1. What is the LCM of 9762 and 9766?

Answer: LCM of 9762 and 9766 is 47667846.

2. 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.

3. What are the Factors of 9766?

Answer: Factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766. There are 8 integers that are factors of 9766. The greatest factor of 9766 is 9766.

4. How to Find the LCM of 9762 and 9766?

Answer:

Least Common Multiple of 9762 and 9766 = 47667846

Step 1: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

Step 2: Find the prime factorization of 9766

9766 = 2 x 19 x 257

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

LCM = 47667846 = 2 x 3 x 19 x 257 x 1627

Step 4: Therefore, the least common multiple of 9762 and 9766 is 47667846.