Least Common Multiple of 9796 and 9804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9796 and 9804 the smallest integer that is 24009996 that is divisible by both numbers.

Least Common Multiple (LCM) of 9796 and 9804 is 24009996.

LCM(9796,9804) = 24009996

LCM of 9796 and 9804

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

LCM of:
and

Least Common Multiple of 9796 and 9804

LCM of 9796 and 9804 is 24009996

Least common multiple can be found by multiplying the highest exponent prime factors of 9796 and 9804. First we will calculate the prime factors of 9796 and 9804.

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

Prime Factorization of 9804


2 9804
2 4902
3 2451
19 817
43 43
1

Prime factors of 9804 are 2, 3, 19,43. Prime factorization of 9804 in exponential form is:

9804 = 22×31×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9796 and 9804.

LCM(9796,9804) = 22×31×191×311×431×791
LCM(9796,9804) = 24009996

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

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804

Least Common Multiple of 9796 and 9804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9796 and 9804, than apply into the LCM equation.

GCF(9796,9804) = 4
LCM(9796,9804) = ( 9796 × 9804) / 4
LCM(9796,9804) = 96039984 / 4
LCM(9796,9804) = 24009996

Properties of LCM 9796 and 9804

(i) The LCM of 9804 and 9796 is associative

LCM of 9796 and 9804 = LCM of 9804 and 9796

Related Least Common Multiples of 9796

Related Least Common Multiples of 9804

Frequently Asked Questions on LCM of 9796 and 9804

1. What is the LCM of 9796 and 9804?

Answer: LCM of 9796 and 9804 is 24009996.

2. 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.

3. What are the Factors of 9804?

Answer: Factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804. There are 24 integers that are factors of 9804. The greatest factor of 9804 is 9804.

4. How to Find the LCM of 9796 and 9804?

Answer:

Least Common Multiple of 9796 and 9804 = 24009996

Step 1: Find the prime factorization of 9796

9796 = 2 x 2 x 31 x 79

Step 2: Find the prime factorization of 9804

9804 = 2 x 2 x 3 x 19 x 43

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

LCM = 24009996 = 2 x 2 x 3 x 19 x 31 x 43 x 79

Step 4: Therefore, the least common multiple of 9796 and 9804 is 24009996.