Least Common Multiple of 9765 and 9770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9765 and 9770 the smallest integer that is 19080810 that is divisible by both numbers.

Least Common Multiple (LCM) of 9765 and 9770 is 19080810.

LCM(9765,9770) = 19080810

LCM of 9765 and 9770

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

LCM of:
and

Least Common Multiple of 9765 and 9770

LCM of 9765 and 9770 is 19080810

Least common multiple can be found by multiplying the highest exponent prime factors of 9765 and 9770. First we will calculate the prime factors of 9765 and 9770.

Prime Factorization of 9765


3 9765
3 3255
5 1085
7 217
31 31
1

Prime factors of 9765 are 3, 5, 7,31. Prime factorization of 9765 in exponential form is:

9765 = 32×51×71×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9765 and 9770.

LCM(9765,9770) = 21×32×51×71×311×9771
LCM(9765,9770) = 19080810

Factors of 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765

Factors of 9770

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

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

Least Common Multiple of 9765 and 9770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9765 and 9770, than apply into the LCM equation.

GCF(9765,9770) = 5
LCM(9765,9770) = ( 9765 × 9770) / 5
LCM(9765,9770) = 95404050 / 5
LCM(9765,9770) = 19080810

Properties of LCM 9765 and 9770

(i) The LCM of 9770 and 9765 is associative

LCM of 9765 and 9770 = LCM of 9770 and 9765

Related Least Common Multiples of 9765

Related Least Common Multiples of 9770

Frequently Asked Questions on LCM of 9765 and 9770

1. What is the LCM of 9765 and 9770?

Answer: LCM of 9765 and 9770 is 19080810.

2. What are the Factors of 9765?

Answer: Factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. There are 24 integers that are factors of 9765. The greatest factor of 9765 is 9765.

3. 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.

4. How to Find the LCM of 9765 and 9770?

Answer:

Least Common Multiple of 9765 and 9770 = 19080810

Step 1: Find the prime factorization of 9765

9765 = 3 x 3 x 5 x 7 x 31

Step 2: Find the prime factorization of 9770

9770 = 2 x 5 x 977

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

LCM = 19080810 = 2 x 3 x 3 x 5 x 7 x 31 x 977

Step 4: Therefore, the least common multiple of 9765 and 9770 is 19080810.