Least Common Multiple of 9778 and 9786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9778 and 9786 the smallest integer that is 47843754 that is divisible by both numbers.

Least Common Multiple (LCM) of 9778 and 9786 is 47843754.

LCM(9778,9786) = 47843754

LCM of 9778 and 9786

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

LCM of:
and

Least Common Multiple of 9778 and 9786

LCM of 9778 and 9786 is 47843754

Least common multiple can be found by multiplying the highest exponent prime factors of 9778 and 9786. First we will calculate the prime factors of 9778 and 9786.

Prime Factorization of 9778


2 9778
4889 4889
1

Prime factors of 9778 are 2,4889. Prime factorization of 9778 in exponential form is:

9778 = 21×48891

Prime Factorization of 9786


2 9786
3 4893
7 1631
233 233
1

Prime factors of 9786 are 2, 3, 7,233. Prime factorization of 9786 in exponential form is:

9786 = 21×31×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 9778 and 9786.

LCM(9778,9786) = 21×31×71×2331×48891
LCM(9778,9786) = 47843754

Factors of 9778

List of positive integer factors of 9778 that divides 9778 without a remainder.

1, 2, 4889, 9778

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786

Least Common Multiple of 9778 and 9786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9778 and 9786, than apply into the LCM equation.

GCF(9778,9786) = 2
LCM(9778,9786) = ( 9778 × 9786) / 2
LCM(9778,9786) = 95687508 / 2
LCM(9778,9786) = 47843754

Properties of LCM 9778 and 9786

(i) The LCM of 9786 and 9778 is associative

LCM of 9778 and 9786 = LCM of 9786 and 9778

Related Least Common Multiples of 9778

Related Least Common Multiples of 9786

Frequently Asked Questions on LCM of 9778 and 9786

1. What is the LCM of 9778 and 9786?

Answer: LCM of 9778 and 9786 is 47843754.

2. What are the Factors of 9778?

Answer: Factors of 9778 are 1, 2, 4889, 9778. There are 4 integers that are factors of 9778. The greatest factor of 9778 is 9778.

3. What are the Factors of 9786?

Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.

4. How to Find the LCM of 9778 and 9786?

Answer:

Least Common Multiple of 9778 and 9786 = 47843754

Step 1: Find the prime factorization of 9778

9778 = 2 x 4889

Step 2: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

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

LCM = 47843754 = 2 x 3 x 7 x 233 x 4889

Step 4: Therefore, the least common multiple of 9778 and 9786 is 47843754.