Least Common Multiple of 9790 and 9798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9790 and 9798 the smallest integer that is 47961210 that is divisible by both numbers.

Least Common Multiple (LCM) of 9790 and 9798 is 47961210.

LCM(9790,9798) = 47961210

LCM of 9790 and 9798

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

LCM of:
and

Least Common Multiple of 9790 and 9798

LCM of 9790 and 9798 is 47961210

Least common multiple can be found by multiplying the highest exponent prime factors of 9790 and 9798. First we will calculate the prime factors of 9790 and 9798.

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

Prime Factorization of 9798


2 9798
3 4899
23 1633
71 71
1

Prime factors of 9798 are 2, 3, 23,71. Prime factorization of 9798 in exponential form is:

9798 = 21×31×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9790 and 9798.

LCM(9790,9798) = 21×31×51×111×231×711×891
LCM(9790,9798) = 47961210

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

Factors of 9798

List of positive integer factors of 9798 that divides 9798 without a remainder.

1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798

Least Common Multiple of 9790 and 9798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9790 and 9798, than apply into the LCM equation.

GCF(9790,9798) = 2
LCM(9790,9798) = ( 9790 × 9798) / 2
LCM(9790,9798) = 95922420 / 2
LCM(9790,9798) = 47961210

Properties of LCM 9790 and 9798

(i) The LCM of 9798 and 9790 is associative

LCM of 9790 and 9798 = LCM of 9798 and 9790

Related Least Common Multiples of 9790

Related Least Common Multiples of 9798

Frequently Asked Questions on LCM of 9790 and 9798

1. What is the LCM of 9790 and 9798?

Answer: LCM of 9790 and 9798 is 47961210.

2. 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.

3. What are the Factors of 9798?

Answer: Factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798. There are 16 integers that are factors of 9798. The greatest factor of 9798 is 9798.

4. How to Find the LCM of 9790 and 9798?

Answer:

Least Common Multiple of 9790 and 9798 = 47961210

Step 1: Find the prime factorization of 9790

9790 = 2 x 5 x 11 x 89

Step 2: Find the prime factorization of 9798

9798 = 2 x 3 x 23 x 71

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

LCM = 47961210 = 2 x 3 x 5 x 11 x 23 x 71 x 89

Step 4: Therefore, the least common multiple of 9790 and 9798 is 47961210.