Least Common Multiple of 9769 and 9775

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 9775 the smallest integer that is 95491975 that is divisible by both numbers.

Least Common Multiple (LCM) of 9769 and 9775 is 95491975.

LCM(9769,9775) = 95491975

LCM of 9769 and 9775

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

LCM of:
and

Least Common Multiple of 9769 and 9775

LCM of 9769 and 9775 is 95491975

Least common multiple can be found by multiplying the highest exponent prime factors of 9769 and 9775. First we will calculate the prime factors of 9769 and 9775.

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 9775


5 9775
5 1955
17 391
23 23
1

Prime factors of 9775 are 5, 17,23. Prime factorization of 9775 in exponential form is:

9775 = 52×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9769 and 9775.

LCM(9769,9775) = 52×171×231×97691
LCM(9769,9775) = 95491975

Factors of 9769

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

1, 9769

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775

Least Common Multiple of 9769 and 9775 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 9775, than apply into the LCM equation.

GCF(9769,9775) = 1
LCM(9769,9775) = ( 9769 × 9775) / 1
LCM(9769,9775) = 95491975 / 1
LCM(9769,9775) = 95491975

Properties of LCM 9769 and 9775

(i) The LCM of 9775 and 9769 is associative

LCM of 9769 and 9775 = LCM of 9775 and 9769

Related Least Common Multiples of 9769

Related Least Common Multiples of 9775

Frequently Asked Questions on LCM of 9769 and 9775

1. What is the LCM of 9769 and 9775?

Answer: LCM of 9769 and 9775 is 95491975.

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 9775?

Answer: Factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775. There are 12 integers that are factors of 9775. The greatest factor of 9775 is 9775.

4. How to Find the LCM of 9769 and 9775?

Answer:

Least Common Multiple of 9769 and 9775 = 95491975

Step 1: Find the prime factorization of 9769

9769 = 9769

Step 2: Find the prime factorization of 9775

9775 = 5 x 5 x 17 x 23

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

LCM = 95491975 = 5 x 5 x 17 x 23 x 9769

Step 4: Therefore, the least common multiple of 9769 and 9775 is 95491975.