Least Common Multiple of 8779 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 8779 and 8784 the smallest integer that is 77114736 that is divisible by both numbers.

Least Common Multiple (LCM) of 8779 and 8784 is 77114736.

LCM(8779,8784) = 77114736

LCM of 8779 and 8784

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

LCM of:
and

Least Common Multiple of 8779 and 8784

LCM of 8779 and 8784 is 77114736

Least common multiple can be found by multiplying the highest exponent prime factors of 8779 and 8784. First we will calculate the prime factors of 8779 and 8784.

Prime Factorization of 8779


8779 8779
1

Prime factors of 8779 are 8779. Prime factorization of 8779 in exponential form is:

8779 = 87791

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 8779 and 8784.

LCM(8779,8784) = 24×32×611×87791
LCM(8779,8784) = 77114736

Factors of 8779

List of positive integer factors of 8779 that divides 8779 without a remainder.

1, 8779

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 8779 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 8779 and 8784, than apply into the LCM equation.

GCF(8779,8784) = 1
LCM(8779,8784) = ( 8779 × 8784) / 1
LCM(8779,8784) = 77114736 / 1
LCM(8779,8784) = 77114736

Properties of LCM 8779 and 8784

(i) The LCM of 8784 and 8779 is associative

LCM of 8779 and 8784 = LCM of 8784 and 8779

Related Least Common Multiples of 8779

Related Least Common Multiples of 8784

Frequently Asked Questions on LCM of 8779 and 8784

1. What is the LCM of 8779 and 8784?

Answer: LCM of 8779 and 8784 is 77114736.

2. What are the Factors of 8779?

Answer: Factors of 8779 are 1, 8779. There are 2 integers that are factors of 8779. The greatest factor of 8779 is 8779.

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 8779 and 8784?

Answer:

Least Common Multiple of 8779 and 8784 = 77114736

Step 1: Find the prime factorization of 8779

8779 = 8779

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 = 77114736 = 2 x 2 x 2 x 2 x 3 x 3 x 61 x 8779

Step 4: Therefore, the least common multiple of 8779 and 8784 is 77114736.