Least Common Multiple of 9790 and 9795

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 9795 the smallest integer that is 19178610 that is divisible by both numbers.

Least Common Multiple (LCM) of 9790 and 9795 is 19178610.

LCM(9790,9795) = 19178610

LCM of 9790 and 9795

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

LCM of:
and

Least Common Multiple of 9790 and 9795

LCM of 9790 and 9795 is 19178610

Least common multiple can be found by multiplying the highest exponent prime factors of 9790 and 9795. First we will calculate the prime factors of 9790 and 9795.

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 9795


3 9795
5 3265
653 653
1

Prime factors of 9795 are 3, 5,653. Prime factorization of 9795 in exponential form is:

9795 = 31×51×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 9790 and 9795.

LCM(9790,9795) = 21×31×51×111×891×6531
LCM(9790,9795) = 19178610

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 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1, 3, 5, 15, 653, 1959, 3265, 9795

Least Common Multiple of 9790 and 9795 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 9795, than apply into the LCM equation.

GCF(9790,9795) = 5
LCM(9790,9795) = ( 9790 × 9795) / 5
LCM(9790,9795) = 95893050 / 5
LCM(9790,9795) = 19178610

Properties of LCM 9790 and 9795

(i) The LCM of 9795 and 9790 is associative

LCM of 9790 and 9795 = LCM of 9795 and 9790

Related Least Common Multiples of 9790

Related Least Common Multiples of 9795

Frequently Asked Questions on LCM of 9790 and 9795

1. What is the LCM of 9790 and 9795?

Answer: LCM of 9790 and 9795 is 19178610.

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 9795?

Answer: Factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795. There are 8 integers that are factors of 9795. The greatest factor of 9795 is 9795.

4. How to Find the LCM of 9790 and 9795?

Answer:

Least Common Multiple of 9790 and 9795 = 19178610

Step 1: Find the prime factorization of 9790

9790 = 2 x 5 x 11 x 89

Step 2: Find the prime factorization of 9795

9795 = 3 x 5 x 653

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

LCM = 19178610 = 2 x 3 x 5 x 11 x 89 x 653

Step 4: Therefore, the least common multiple of 9790 and 9795 is 19178610.