Least Common Multiple of 9766 and 9772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9766 and 9772 the smallest integer that is 47716676 that is divisible by both numbers.

Least Common Multiple (LCM) of 9766 and 9772 is 47716676.

LCM(9766,9772) = 47716676

LCM of 9766 and 9772

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

LCM of:
and

Least Common Multiple of 9766 and 9772

LCM of 9766 and 9772 is 47716676

Least common multiple can be found by multiplying the highest exponent prime factors of 9766 and 9772. First we will calculate the prime factors of 9766 and 9772.

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

Prime Factorization of 9772


2 9772
2 4886
7 2443
349 349
1

Prime factors of 9772 are 2, 7,349. Prime factorization of 9772 in exponential form is:

9772 = 22×71×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 9766 and 9772.

LCM(9766,9772) = 22×71×191×2571×3491
LCM(9766,9772) = 47716676

Factors of 9766

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

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

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772

Least Common Multiple of 9766 and 9772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9766 and 9772, than apply into the LCM equation.

GCF(9766,9772) = 2
LCM(9766,9772) = ( 9766 × 9772) / 2
LCM(9766,9772) = 95433352 / 2
LCM(9766,9772) = 47716676

Properties of LCM 9766 and 9772

(i) The LCM of 9772 and 9766 is associative

LCM of 9766 and 9772 = LCM of 9772 and 9766

Related Least Common Multiples of 9766

Related Least Common Multiples of 9772

Frequently Asked Questions on LCM of 9766 and 9772

1. What is the LCM of 9766 and 9772?

Answer: LCM of 9766 and 9772 is 47716676.

2. 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.

3. What are the Factors of 9772?

Answer: Factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772. There are 12 integers that are factors of 9772. The greatest factor of 9772 is 9772.

4. How to Find the LCM of 9766 and 9772?

Answer:

Least Common Multiple of 9766 and 9772 = 47716676

Step 1: Find the prime factorization of 9766

9766 = 2 x 19 x 257

Step 2: Find the prime factorization of 9772

9772 = 2 x 2 x 7 x 349

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

LCM = 47716676 = 2 x 2 x 7 x 19 x 257 x 349

Step 4: Therefore, the least common multiple of 9766 and 9772 is 47716676.