Least Common Multiple of 8784 and 8789

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 8789 the smallest integer that is 77202576 that is divisible by both numbers.

Least Common Multiple (LCM) of 8784 and 8789 is 77202576.

LCM(8784,8789) = 77202576

LCM of 8784 and 8789

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

LCM of:
and

Least Common Multiple of 8784 and 8789

LCM of 8784 and 8789 is 77202576

Least common multiple can be found by multiplying the highest exponent prime factors of 8784 and 8789. First we will calculate the prime factors of 8784 and 8789.

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 8789


11 8789
17 799
47 47
1

Prime factors of 8789 are 11, 17,47. Prime factorization of 8789 in exponential form is:

8789 = 111×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8784 and 8789.

LCM(8784,8789) = 24×32×111×171×471×611
LCM(8784,8789) = 77202576

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 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1, 11, 17, 47, 187, 517, 799, 8789

Least Common Multiple of 8784 and 8789 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 8789, than apply into the LCM equation.

GCF(8784,8789) = 1
LCM(8784,8789) = ( 8784 × 8789) / 1
LCM(8784,8789) = 77202576 / 1
LCM(8784,8789) = 77202576

Properties of LCM 8784 and 8789

(i) The LCM of 8789 and 8784 is associative

LCM of 8784 and 8789 = LCM of 8789 and 8784

Related Least Common Multiples of 8784

Related Least Common Multiples of 8789

Frequently Asked Questions on LCM of 8784 and 8789

1. What is the LCM of 8784 and 8789?

Answer: LCM of 8784 and 8789 is 77202576.

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 8789?

Answer: Factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789. There are 8 integers that are factors of 8789. The greatest factor of 8789 is 8789.

4. How to Find the LCM of 8784 and 8789?

Answer:

Least Common Multiple of 8784 and 8789 = 77202576

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 8789

8789 = 11 x 17 x 47

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

LCM = 77202576 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 47 x 61

Step 4: Therefore, the least common multiple of 8784 and 8789 is 77202576.