Least Common Multiple of 9769 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 9769 and 9776 the smallest integer that is 95501744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9769 and 9776 is 95501744.

LCM(9769,9776) = 95501744

LCM of 9769 and 9776

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

LCM of:
and

Least Common Multiple of 9769 and 9776

LCM of 9769 and 9776 is 95501744

Least common multiple can be found by multiplying the highest exponent prime factors of 9769 and 9776. First we will calculate the prime factors of 9769 and 9776.

Prime Factorization of 9769


9769 9769
1

Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:

9769 = 97691

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 9769 and 9776.

LCM(9769,9776) = 24×131×471×97691
LCM(9769,9776) = 95501744

Factors of 9769

List of positive integer factors of 9769 that divides 9769 without a remainder.

1, 9769

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 9769 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 9769 and 9776, than apply into the LCM equation.

GCF(9769,9776) = 1
LCM(9769,9776) = ( 9769 × 9776) / 1
LCM(9769,9776) = 95501744 / 1
LCM(9769,9776) = 95501744

Properties of LCM 9769 and 9776

(i) The LCM of 9776 and 9769 is associative

LCM of 9769 and 9776 = LCM of 9776 and 9769

Related Least Common Multiples of 9769

Related Least Common Multiples of 9776

Frequently Asked Questions on LCM of 9769 and 9776

1. What is the LCM of 9769 and 9776?

Answer: LCM of 9769 and 9776 is 95501744.

2. What are the Factors of 9769?

Answer: Factors of 9769 are 1, 9769. There are 2 integers that are factors of 9769. The greatest factor of 9769 is 9769.

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 9769 and 9776?

Answer:

Least Common Multiple of 9769 and 9776 = 95501744

Step 1: Find the prime factorization of 9769

9769 = 9769

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 = 95501744 = 2 x 2 x 2 x 2 x 13 x 47 x 9769

Step 4: Therefore, the least common multiple of 9769 and 9776 is 95501744.