Least Common Multiple of 9775 and 9780

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 9780 the smallest integer that is 19119900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9775 and 9780 is 19119900.

LCM(9775,9780) = 19119900

LCM of 9775 and 9780

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

LCM of:
and

Least Common Multiple of 9775 and 9780

LCM of 9775 and 9780 is 19119900

Least common multiple can be found by multiplying the highest exponent prime factors of 9775 and 9780. First we will calculate the prime factors of 9775 and 9780.

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 9780


2 9780
2 4890
3 2445
5 815
163 163
1

Prime factors of 9780 are 2, 3, 5,163. Prime factorization of 9780 in exponential form is:

9780 = 22×31×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9775 and 9780.

LCM(9775,9780) = 22×31×52×171×231×1631
LCM(9775,9780) = 19119900

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 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780

Least Common Multiple of 9775 and 9780 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 9780, than apply into the LCM equation.

GCF(9775,9780) = 5
LCM(9775,9780) = ( 9775 × 9780) / 5
LCM(9775,9780) = 95599500 / 5
LCM(9775,9780) = 19119900

Properties of LCM 9775 and 9780

(i) The LCM of 9780 and 9775 is associative

LCM of 9775 and 9780 = LCM of 9780 and 9775

Related Least Common Multiples of 9775

Related Least Common Multiples of 9780

Frequently Asked Questions on LCM of 9775 and 9780

1. What is the LCM of 9775 and 9780?

Answer: LCM of 9775 and 9780 is 19119900.

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 9780?

Answer: Factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780. There are 24 integers that are factors of 9780. The greatest factor of 9780 is 9780.

4. How to Find the LCM of 9775 and 9780?

Answer:

Least Common Multiple of 9775 and 9780 = 19119900

Step 1: Find the prime factorization of 9775

9775 = 5 x 5 x 17 x 23

Step 2: Find the prime factorization of 9780

9780 = 2 x 2 x 3 x 5 x 163

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

LCM = 19119900 = 2 x 2 x 3 x 5 x 5 x 17 x 23 x 163

Step 4: Therefore, the least common multiple of 9775 and 9780 is 19119900.