Least Common Multiple of 8783 and 8784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8783 and 8784 the smallest integer that is 77149872 that is divisible by both numbers.

Least Common Multiple (LCM) of 8783 and 8784 is 77149872.

LCM(8783,8784) = 77149872

LCM of 8783 and 8784

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

LCM of:
and

Least Common Multiple of 8783 and 8784

LCM of 8783 and 8784 is 77149872

Least common multiple can be found by multiplying the highest exponent prime factors of 8783 and 8784. First we will calculate the prime factors of 8783 and 8784.

Prime Factorization of 8783


8783 8783
1

Prime factors of 8783 are 8783. Prime factorization of 8783 in exponential form is:

8783 = 87831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8783 and 8784.

LCM(8783,8784) = 24×32×611×87831
LCM(8783,8784) = 77149872

Factors of 8783

List of positive integer factors of 8783 that divides 8783 without a remainder.

1, 8783

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

Least Common Multiple of 8783 and 8784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8783 and 8784, than apply into the LCM equation.

GCF(8783,8784) = 1
LCM(8783,8784) = ( 8783 × 8784) / 1
LCM(8783,8784) = 77149872 / 1
LCM(8783,8784) = 77149872

Properties of LCM 8783 and 8784

(i) The LCM of 8784 and 8783 is associative

LCM of 8783 and 8784 = LCM of 8784 and 8783

Related Least Common Multiples of 8783

Related Least Common Multiples of 8784

Frequently Asked Questions on LCM of 8783 and 8784

1. What is the LCM of 8783 and 8784?

Answer: LCM of 8783 and 8784 is 77149872.

2. What are the Factors of 8783?

Answer: Factors of 8783 are 1, 8783. There are 2 integers that are factors of 8783. The greatest factor of 8783 is 8783.

3. 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.

4. How to Find the LCM of 8783 and 8784?

Answer:

Least Common Multiple of 8783 and 8784 = 77149872

Step 1: Find the prime factorization of 8783

8783 = 8783

Step 2: Find the prime factorization of 8784

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

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

LCM = 77149872 = 2 x 2 x 2 x 2 x 3 x 3 x 61 x 8783

Step 4: Therefore, the least common multiple of 8783 and 8784 is 77149872.