Least Common Multiple of 8784 and 8785

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 8785 the smallest integer that is 77167440 that is divisible by both numbers.

Least Common Multiple (LCM) of 8784 and 8785 is 77167440.

LCM(8784,8785) = 77167440

LCM of 8784 and 8785

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

LCM of:
and

Least Common Multiple of 8784 and 8785

LCM of 8784 and 8785 is 77167440

Least common multiple can be found by multiplying the highest exponent prime factors of 8784 and 8785. First we will calculate the prime factors of 8784 and 8785.

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 8785


5 8785
7 1757
251 251
1

Prime factors of 8785 are 5, 7,251. Prime factorization of 8785 in exponential form is:

8785 = 51×71×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8784 and 8785.

LCM(8784,8785) = 24×32×51×71×611×2511
LCM(8784,8785) = 77167440

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 8785

List of positive integer factors of 8785 that divides 8785 without a remainder.

1, 5, 7, 35, 251, 1255, 1757, 8785

Least Common Multiple of 8784 and 8785 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 8785, than apply into the LCM equation.

GCF(8784,8785) = 1
LCM(8784,8785) = ( 8784 × 8785) / 1
LCM(8784,8785) = 77167440 / 1
LCM(8784,8785) = 77167440

Properties of LCM 8784 and 8785

(i) The LCM of 8785 and 8784 is associative

LCM of 8784 and 8785 = LCM of 8785 and 8784

Related Least Common Multiples of 8784

Related Least Common Multiples of 8785

Frequently Asked Questions on LCM of 8784 and 8785

1. What is the LCM of 8784 and 8785?

Answer: LCM of 8784 and 8785 is 77167440.

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 8785?

Answer: Factors of 8785 are 1, 5, 7, 35, 251, 1255, 1757, 8785. There are 8 integers that are factors of 8785. The greatest factor of 8785 is 8785.

4. How to Find the LCM of 8784 and 8785?

Answer:

Least Common Multiple of 8784 and 8785 = 77167440

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 8785

8785 = 5 x 7 x 251

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

LCM = 77167440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 61 x 251

Step 4: Therefore, the least common multiple of 8784 and 8785 is 77167440.