Least Common Multiple of 8784 and 8792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8784 and 8792 the smallest integer that is 9653616 that is divisible by both numbers.

Least Common Multiple (LCM) of 8784 and 8792 is 9653616.

LCM(8784,8792) = 9653616

LCM of 8784 and 8792

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

LCM of:
and

Least Common Multiple of 8784 and 8792

LCM of 8784 and 8792 is 9653616

Least common multiple can be found by multiplying the highest exponent prime factors of 8784 and 8792. First we will calculate the prime factors of 8784 and 8792.

Prime Factorization of 8784


2 8784
2 4392
2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 8784 are 2, 3,61. Prime factorization of 8784 in exponential form is:

8784 = 24×32×611

Prime Factorization of 8792


2 8792
2 4396
2 2198
7 1099
157 157
1

Prime factors of 8792 are 2, 7,157. Prime factorization of 8792 in exponential form is:

8792 = 23×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8784 and 8792.

LCM(8784,8792) = 24×32×71×611×1571
LCM(8784,8792) = 9653616

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784

Factors of 8792

List of positive integer factors of 8792 that divides 8792 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792

Least Common Multiple of 8784 and 8792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8784 and 8792, than apply into the LCM equation.

GCF(8784,8792) = 8
LCM(8784,8792) = ( 8784 × 8792) / 8
LCM(8784,8792) = 77228928 / 8
LCM(8784,8792) = 9653616

Properties of LCM 8784 and 8792

(i) The LCM of 8792 and 8784 is associative

LCM of 8784 and 8792 = LCM of 8792 and 8784

Related Least Common Multiples of 8784

Related Least Common Multiples of 8792

Frequently Asked Questions on LCM of 8784 and 8792

1. What is the LCM of 8784 and 8792?

Answer: LCM of 8784 and 8792 is 9653616.

2. What are the Factors of 8784?

Answer: Factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784. There are 30 integers that are factors of 8784. The greatest factor of 8784 is 8784.

3. What are the Factors of 8792?

Answer: Factors of 8792 are 1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792. There are 16 integers that are factors of 8792. The greatest factor of 8792 is 8792.

4. How to Find the LCM of 8784 and 8792?

Answer:

Least Common Multiple of 8784 and 8792 = 9653616

Step 1: Find the prime factorization of 8784

8784 = 2 x 2 x 2 x 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 8792

8792 = 2 x 2 x 2 x 7 x 157

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

LCM = 9653616 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 61 x 157

Step 4: Therefore, the least common multiple of 8784 and 8792 is 9653616.