Least Common Multiple of 9790 and 9796

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 9796 the smallest integer that is 47951420 that is divisible by both numbers.

Least Common Multiple (LCM) of 9790 and 9796 is 47951420.

LCM(9790,9796) = 47951420

LCM of 9790 and 9796

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

LCM of:
and

Least Common Multiple of 9790 and 9796

LCM of 9790 and 9796 is 47951420

Least common multiple can be found by multiplying the highest exponent prime factors of 9790 and 9796. First we will calculate the prime factors of 9790 and 9796.

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 9796


2 9796
2 4898
31 2449
79 79
1

Prime factors of 9796 are 2, 31,79. Prime factorization of 9796 in exponential form is:

9796 = 22×311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9790 and 9796.

LCM(9790,9796) = 22×51×111×311×791×891
LCM(9790,9796) = 47951420

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 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796

Least Common Multiple of 9790 and 9796 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 9796, than apply into the LCM equation.

GCF(9790,9796) = 2
LCM(9790,9796) = ( 9790 × 9796) / 2
LCM(9790,9796) = 95902840 / 2
LCM(9790,9796) = 47951420

Properties of LCM 9790 and 9796

(i) The LCM of 9796 and 9790 is associative

LCM of 9790 and 9796 = LCM of 9796 and 9790

Related Least Common Multiples of 9790

Related Least Common Multiples of 9796

Frequently Asked Questions on LCM of 9790 and 9796

1. What is the LCM of 9790 and 9796?

Answer: LCM of 9790 and 9796 is 47951420.

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 9796?

Answer: Factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796. There are 12 integers that are factors of 9796. The greatest factor of 9796 is 9796.

4. How to Find the LCM of 9790 and 9796?

Answer:

Least Common Multiple of 9790 and 9796 = 47951420

Step 1: Find the prime factorization of 9790

9790 = 2 x 5 x 11 x 89

Step 2: Find the prime factorization of 9796

9796 = 2 x 2 x 31 x 79

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

LCM = 47951420 = 2 x 2 x 5 x 11 x 31 x 79 x 89

Step 4: Therefore, the least common multiple of 9790 and 9796 is 47951420.