Least Common Multiple of 9775 and 9779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9775 and 9779 the smallest integer that is 95589725 that is divisible by both numbers.

Least Common Multiple (LCM) of 9775 and 9779 is 95589725.

LCM(9775,9779) = 95589725

LCM of 9775 and 9779

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

LCM of:
and

Least Common Multiple of 9775 and 9779

LCM of 9775 and 9779 is 95589725

Least common multiple can be found by multiplying the highest exponent prime factors of 9775 and 9779. First we will calculate the prime factors of 9775 and 9779.

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

Prime Factorization of 9779


7 9779
11 1397
127 127
1

Prime factors of 9779 are 7, 11,127. Prime factorization of 9779 in exponential form is:

9779 = 71×111×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9775 and 9779.

LCM(9775,9779) = 52×71×111×171×231×1271
LCM(9775,9779) = 95589725

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

Factors of 9779

List of positive integer factors of 9779 that divides 9779 without a remainder.

1, 7, 11, 77, 127, 889, 1397, 9779

Least Common Multiple of 9775 and 9779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9775 and 9779, than apply into the LCM equation.

GCF(9775,9779) = 1
LCM(9775,9779) = ( 9775 × 9779) / 1
LCM(9775,9779) = 95589725 / 1
LCM(9775,9779) = 95589725

Properties of LCM 9775 and 9779

(i) The LCM of 9779 and 9775 is associative

LCM of 9775 and 9779 = LCM of 9779 and 9775

Related Least Common Multiples of 9775

Related Least Common Multiples of 9779

Frequently Asked Questions on LCM of 9775 and 9779

1. What is the LCM of 9775 and 9779?

Answer: LCM of 9775 and 9779 is 95589725.

2. 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.

3. What are the Factors of 9779?

Answer: Factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779. There are 8 integers that are factors of 9779. The greatest factor of 9779 is 9779.

4. How to Find the LCM of 9775 and 9779?

Answer:

Least Common Multiple of 9775 and 9779 = 95589725

Step 1: Find the prime factorization of 9775

9775 = 5 x 5 x 17 x 23

Step 2: Find the prime factorization of 9779

9779 = 7 x 11 x 127

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

LCM = 95589725 = 5 x 5 x 7 x 11 x 17 x 23 x 127

Step 4: Therefore, the least common multiple of 9775 and 9779 is 95589725.