Least Common Multiple of 9786 and 9790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9786 and 9790 the smallest integer that is 47902470 that is divisible by both numbers.

Least Common Multiple (LCM) of 9786 and 9790 is 47902470.

LCM(9786,9790) = 47902470

LCM of 9786 and 9790

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

LCM of:
and

Least Common Multiple of 9786 and 9790

LCM of 9786 and 9790 is 47902470

Least common multiple can be found by multiplying the highest exponent prime factors of 9786 and 9790. First we will calculate the prime factors of 9786 and 9790.

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

Prime Factorization of 9790


2 9790
5 4895
11 979
89 89
1

Prime factors of 9790 are 2, 5, 11,89. Prime factorization of 9790 in exponential form is:

9790 = 21×51×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9786 and 9790.

LCM(9786,9790) = 21×31×51×71×111×891×2331
LCM(9786,9790) = 47902470

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

Factors of 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790

Least Common Multiple of 9786 and 9790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9786 and 9790, than apply into the LCM equation.

GCF(9786,9790) = 2
LCM(9786,9790) = ( 9786 × 9790) / 2
LCM(9786,9790) = 95804940 / 2
LCM(9786,9790) = 47902470

Properties of LCM 9786 and 9790

(i) The LCM of 9790 and 9786 is associative

LCM of 9786 and 9790 = LCM of 9790 and 9786

Related Least Common Multiples of 9786

Related Least Common Multiples of 9790

Frequently Asked Questions on LCM of 9786 and 9790

1. What is the LCM of 9786 and 9790?

Answer: LCM of 9786 and 9790 is 47902470.

2. 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.

3. What are the Factors of 9790?

Answer: Factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790. There are 16 integers that are factors of 9790. The greatest factor of 9790 is 9790.

4. How to Find the LCM of 9786 and 9790?

Answer:

Least Common Multiple of 9786 and 9790 = 47902470

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9790

9790 = 2 x 5 x 11 x 89

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

LCM = 47902470 = 2 x 3 x 5 x 7 x 11 x 89 x 233

Step 4: Therefore, the least common multiple of 9786 and 9790 is 47902470.