Least Common Multiple of 9765 and 9772

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 9772 the smallest integer that is 13631940 that is divisible by both numbers.

Least Common Multiple (LCM) of 9765 and 9772 is 13631940.

LCM(9765,9772) = 13631940

LCM of 9765 and 9772

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

LCM of:
and

Least Common Multiple of 9765 and 9772

LCM of 9765 and 9772 is 13631940

Least common multiple can be found by multiplying the highest exponent prime factors of 9765 and 9772. First we will calculate the prime factors of 9765 and 9772.

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 9772


2 9772
2 4886
7 2443
349 349
1

Prime factors of 9772 are 2, 7,349. Prime factorization of 9772 in exponential form is:

9772 = 22×71×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 9765 and 9772.

LCM(9765,9772) = 22×32×51×71×311×3491
LCM(9765,9772) = 13631940

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 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772

Least Common Multiple of 9765 and 9772 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 9772, than apply into the LCM equation.

GCF(9765,9772) = 7
LCM(9765,9772) = ( 9765 × 9772) / 7
LCM(9765,9772) = 95423580 / 7
LCM(9765,9772) = 13631940

Properties of LCM 9765 and 9772

(i) The LCM of 9772 and 9765 is associative

LCM of 9765 and 9772 = LCM of 9772 and 9765

Related Least Common Multiples of 9765

Related Least Common Multiples of 9772

Frequently Asked Questions on LCM of 9765 and 9772

1. What is the LCM of 9765 and 9772?

Answer: LCM of 9765 and 9772 is 13631940.

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 9772?

Answer: Factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772. There are 12 integers that are factors of 9772. The greatest factor of 9772 is 9772.

4. How to Find the LCM of 9765 and 9772?

Answer:

Least Common Multiple of 9765 and 9772 = 13631940

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 9772

9772 = 2 x 2 x 7 x 349

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

LCM = 13631940 = 2 x 2 x 3 x 3 x 5 x 7 x 31 x 349

Step 4: Therefore, the least common multiple of 9765 and 9772 is 13631940.