Least Common Multiple of 9766 and 9774

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 9774 the smallest integer that is 47726442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9766 and 9774 is 47726442.

LCM(9766,9774) = 47726442

LCM of 9766 and 9774

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

LCM of:
and

Least Common Multiple of 9766 and 9774

LCM of 9766 and 9774 is 47726442

Least common multiple can be found by multiplying the highest exponent prime factors of 9766 and 9774. First we will calculate the prime factors of 9766 and 9774.

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 9774


2 9774
3 4887
3 1629
3 543
181 181
1

Prime factors of 9774 are 2, 3,181. Prime factorization of 9774 in exponential form is:

9774 = 21×33×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9766 and 9774.

LCM(9766,9774) = 21×33×191×1811×2571
LCM(9766,9774) = 47726442

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 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774

Least Common Multiple of 9766 and 9774 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 9774, than apply into the LCM equation.

GCF(9766,9774) = 2
LCM(9766,9774) = ( 9766 × 9774) / 2
LCM(9766,9774) = 95452884 / 2
LCM(9766,9774) = 47726442

Properties of LCM 9766 and 9774

(i) The LCM of 9774 and 9766 is associative

LCM of 9766 and 9774 = LCM of 9774 and 9766

Related Least Common Multiples of 9766

Related Least Common Multiples of 9774

Frequently Asked Questions on LCM of 9766 and 9774

1. What is the LCM of 9766 and 9774?

Answer: LCM of 9766 and 9774 is 47726442.

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 9774?

Answer: Factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774. There are 16 integers that are factors of 9774. The greatest factor of 9774 is 9774.

4. How to Find the LCM of 9766 and 9774?

Answer:

Least Common Multiple of 9766 and 9774 = 47726442

Step 1: Find the prime factorization of 9766

9766 = 2 x 19 x 257

Step 2: Find the prime factorization of 9774

9774 = 2 x 3 x 3 x 3 x 181

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

LCM = 47726442 = 2 x 3 x 3 x 3 x 19 x 181 x 257

Step 4: Therefore, the least common multiple of 9766 and 9774 is 47726442.