Least Common Multiple of 9792 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 9792 and 9796 the smallest integer that is 23980608 that is divisible by both numbers.

Least Common Multiple (LCM) of 9792 and 9796 is 23980608.

LCM(9792,9796) = 23980608

LCM of 9792 and 9796

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

LCM of:
and

Least Common Multiple of 9792 and 9796

LCM of 9792 and 9796 is 23980608

Least common multiple can be found by multiplying the highest exponent prime factors of 9792 and 9796. First we will calculate the prime factors of 9792 and 9796.

Prime Factorization of 9792


2 9792
2 4896
2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 9792 are 2, 3,17. Prime factorization of 9792 in exponential form is:

9792 = 26×32×171

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 9792 and 9796.

LCM(9792,9796) = 26×32×171×311×791
LCM(9792,9796) = 23980608

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792

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 9792 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 9792 and 9796, than apply into the LCM equation.

GCF(9792,9796) = 4
LCM(9792,9796) = ( 9792 × 9796) / 4
LCM(9792,9796) = 95922432 / 4
LCM(9792,9796) = 23980608

Properties of LCM 9792 and 9796

(i) The LCM of 9796 and 9792 is associative

LCM of 9792 and 9796 = LCM of 9796 and 9792

Related Least Common Multiples of 9792

Related Least Common Multiples of 9796

Frequently Asked Questions on LCM of 9792 and 9796

1. What is the LCM of 9792 and 9796?

Answer: LCM of 9792 and 9796 is 23980608.

2. What are the Factors of 9792?

Answer: Factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792. There are 42 integers that are factors of 9792. The greatest factor of 9792 is 9792.

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 9792 and 9796?

Answer:

Least Common Multiple of 9792 and 9796 = 23980608

Step 1: Find the prime factorization of 9792

9792 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17

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 = 23980608 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 31 x 79

Step 4: Therefore, the least common multiple of 9792 and 9796 is 23980608.