Least Common Multiple of 9779 and 9783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9779 and 9783 the smallest integer that is 95667957 that is divisible by both numbers.

Least Common Multiple (LCM) of 9779 and 9783 is 95667957.

LCM(9779,9783) = 95667957

LCM of 9779 and 9783

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

LCM of:
and

Least Common Multiple of 9779 and 9783

LCM of 9779 and 9783 is 95667957

Least common multiple can be found by multiplying the highest exponent prime factors of 9779 and 9783. First we will calculate the prime factors of 9779 and 9783.

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

Prime Factorization of 9783


3 9783
3 3261
1087 1087
1

Prime factors of 9783 are 3,1087. Prime factorization of 9783 in exponential form is:

9783 = 32×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 9779 and 9783.

LCM(9779,9783) = 32×71×111×1271×10871
LCM(9779,9783) = 95667957

Factors of 9779

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

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

Factors of 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1, 3, 9, 1087, 3261, 9783

Least Common Multiple of 9779 and 9783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9779 and 9783, than apply into the LCM equation.

GCF(9779,9783) = 1
LCM(9779,9783) = ( 9779 × 9783) / 1
LCM(9779,9783) = 95667957 / 1
LCM(9779,9783) = 95667957

Properties of LCM 9779 and 9783

(i) The LCM of 9783 and 9779 is associative

LCM of 9779 and 9783 = LCM of 9783 and 9779

Related Least Common Multiples of 9779

Related Least Common Multiples of 9783

Frequently Asked Questions on LCM of 9779 and 9783

1. What is the LCM of 9779 and 9783?

Answer: LCM of 9779 and 9783 is 95667957.

2. 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.

3. What are the Factors of 9783?

Answer: Factors of 9783 are 1, 3, 9, 1087, 3261, 9783. There are 6 integers that are factors of 9783. The greatest factor of 9783 is 9783.

4. How to Find the LCM of 9779 and 9783?

Answer:

Least Common Multiple of 9779 and 9783 = 95667957

Step 1: Find the prime factorization of 9779

9779 = 7 x 11 x 127

Step 2: Find the prime factorization of 9783

9783 = 3 x 3 x 1087

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

LCM = 95667957 = 3 x 3 x 7 x 11 x 127 x 1087

Step 4: Therefore, the least common multiple of 9779 and 9783 is 95667957.