Least Common Multiple of 9770 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 9770 and 9775 the smallest integer that is 19100350 that is divisible by both numbers.

Least Common Multiple (LCM) of 9770 and 9775 is 19100350.

LCM(9770,9775) = 19100350

LCM of 9770 and 9775

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

LCM of:
and

Least Common Multiple of 9770 and 9775

LCM of 9770 and 9775 is 19100350

Least common multiple can be found by multiplying the highest exponent prime factors of 9770 and 9775. First we will calculate the prime factors of 9770 and 9775.

Prime Factorization of 9770


2 9770
5 4885
977 977
1

Prime factors of 9770 are 2, 5,977. Prime factorization of 9770 in exponential form is:

9770 = 21×51×9771

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 9770 and 9775.

LCM(9770,9775) = 21×52×171×231×9771
LCM(9770,9775) = 19100350

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1, 2, 5, 10, 977, 1954, 4885, 9770

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 9770 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 9770 and 9775, than apply into the LCM equation.

GCF(9770,9775) = 5
LCM(9770,9775) = ( 9770 × 9775) / 5
LCM(9770,9775) = 95501750 / 5
LCM(9770,9775) = 19100350

Properties of LCM 9770 and 9775

(i) The LCM of 9775 and 9770 is associative

LCM of 9770 and 9775 = LCM of 9775 and 9770

Related Least Common Multiples of 9770

Related Least Common Multiples of 9775

Frequently Asked Questions on LCM of 9770 and 9775

1. What is the LCM of 9770 and 9775?

Answer: LCM of 9770 and 9775 is 19100350.

2. What are the Factors of 9770?

Answer: Factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770. There are 8 integers that are factors of 9770. The greatest factor of 9770 is 9770.

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 9770 and 9775?

Answer:

Least Common Multiple of 9770 and 9775 = 19100350

Step 1: Find the prime factorization of 9770

9770 = 2 x 5 x 977

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 = 19100350 = 2 x 5 x 5 x 17 x 23 x 977

Step 4: Therefore, the least common multiple of 9770 and 9775 is 19100350.