Least Common Multiple of 9771 and 9776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9771 and 9776 the smallest integer that is 95521296 that is divisible by both numbers.

Least Common Multiple (LCM) of 9771 and 9776 is 95521296.

LCM(9771,9776) = 95521296

LCM of 9771 and 9776

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

LCM of:
and

Least Common Multiple of 9771 and 9776

LCM of 9771 and 9776 is 95521296

Least common multiple can be found by multiplying the highest exponent prime factors of 9771 and 9776. First we will calculate the prime factors of 9771 and 9776.

Prime Factorization of 9771


3 9771
3257 3257
1

Prime factors of 9771 are 3,3257. Prime factorization of 9771 in exponential form is:

9771 = 31×32571

Prime Factorization of 9776


2 9776
2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 9776 are 2, 13,47. Prime factorization of 9776 in exponential form is:

9776 = 24×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9771 and 9776.

LCM(9771,9776) = 24×31×131×471×32571
LCM(9771,9776) = 95521296

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1, 3, 3257, 9771

Factors of 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776

Least Common Multiple of 9771 and 9776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9771 and 9776, than apply into the LCM equation.

GCF(9771,9776) = 1
LCM(9771,9776) = ( 9771 × 9776) / 1
LCM(9771,9776) = 95521296 / 1
LCM(9771,9776) = 95521296

Properties of LCM 9771 and 9776

(i) The LCM of 9776 and 9771 is associative

LCM of 9771 and 9776 = LCM of 9776 and 9771

Related Least Common Multiples of 9771

Related Least Common Multiples of 9776

Frequently Asked Questions on LCM of 9771 and 9776

1. What is the LCM of 9771 and 9776?

Answer: LCM of 9771 and 9776 is 95521296.

2. What are the Factors of 9771?

Answer: Factors of 9771 are 1, 3, 3257, 9771. There are 4 integers that are factors of 9771. The greatest factor of 9771 is 9771.

3. What are the Factors of 9776?

Answer: Factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. There are 20 integers that are factors of 9776. The greatest factor of 9776 is 9776.

4. How to Find the LCM of 9771 and 9776?

Answer:

Least Common Multiple of 9771 and 9776 = 95521296

Step 1: Find the prime factorization of 9771

9771 = 3 x 3257

Step 2: Find the prime factorization of 9776

9776 = 2 x 2 x 2 x 2 x 13 x 47

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

LCM = 95521296 = 2 x 2 x 2 x 2 x 3 x 13 x 47 x 3257

Step 4: Therefore, the least common multiple of 9771 and 9776 is 95521296.