Least Common Multiple of 9779 and 9787

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 9787 the smallest integer that is 95707073 that is divisible by both numbers.

Least Common Multiple (LCM) of 9779 and 9787 is 95707073.

LCM(9779,9787) = 95707073

LCM of 9779 and 9787

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

LCM of:
and

Least Common Multiple of 9779 and 9787

LCM of 9779 and 9787 is 95707073

Least common multiple can be found by multiplying the highest exponent prime factors of 9779 and 9787. First we will calculate the prime factors of 9779 and 9787.

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 9787


9787 9787
1

Prime factors of 9787 are 9787. Prime factorization of 9787 in exponential form is:

9787 = 97871

Now multiplying the highest exponent prime factors to calculate the LCM of 9779 and 9787.

LCM(9779,9787) = 71×111×1271×97871
LCM(9779,9787) = 95707073

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 9787

List of positive integer factors of 9787 that divides 9787 without a remainder.

1, 9787

Least Common Multiple of 9779 and 9787 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 9787, than apply into the LCM equation.

GCF(9779,9787) = 1
LCM(9779,9787) = ( 9779 × 9787) / 1
LCM(9779,9787) = 95707073 / 1
LCM(9779,9787) = 95707073

Properties of LCM 9779 and 9787

(i) The LCM of 9787 and 9779 is associative

LCM of 9779 and 9787 = LCM of 9787 and 9779

Related Least Common Multiples of 9779

Related Least Common Multiples of 9787

Frequently Asked Questions on LCM of 9779 and 9787

1. What is the LCM of 9779 and 9787?

Answer: LCM of 9779 and 9787 is 95707073.

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 9787?

Answer: Factors of 9787 are 1, 9787. There are 2 integers that are factors of 9787. The greatest factor of 9787 is 9787.

4. How to Find the LCM of 9779 and 9787?

Answer:

Least Common Multiple of 9779 and 9787 = 95707073

Step 1: Find the prime factorization of 9779

9779 = 7 x 11 x 127

Step 2: Find the prime factorization of 9787

9787 = 9787

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

LCM = 95707073 = 7 x 11 x 127 x 9787

Step 4: Therefore, the least common multiple of 9779 and 9787 is 95707073.