Least Common Multiple of 8778 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 8778 and 8784 the smallest integer that is 12850992 that is divisible by both numbers.

Least Common Multiple (LCM) of 8778 and 8784 is 12850992.

LCM(8778,8784) = 12850992

LCM of 8778 and 8784

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

LCM of:
and

Least Common Multiple of 8778 and 8784

LCM of 8778 and 8784 is 12850992

Least common multiple can be found by multiplying the highest exponent prime factors of 8778 and 8784. First we will calculate the prime factors of 8778 and 8784.

Prime Factorization of 8778


2 8778
3 4389
7 1463
11 209
19 19
1

Prime factors of 8778 are 2, 3, 7, 11,19. Prime factorization of 8778 in exponential form is:

8778 = 21×31×71×111×191

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 8778 and 8784.

LCM(8778,8784) = 24×32×71×111×191×611
LCM(8778,8784) = 12850992

Factors of 8778

List of positive integer factors of 8778 that divides 8778 without a remainder.

1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778

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 8778 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 8778 and 8784, than apply into the LCM equation.

GCF(8778,8784) = 6
LCM(8778,8784) = ( 8778 × 8784) / 6
LCM(8778,8784) = 77105952 / 6
LCM(8778,8784) = 12850992

Properties of LCM 8778 and 8784

(i) The LCM of 8784 and 8778 is associative

LCM of 8778 and 8784 = LCM of 8784 and 8778

Related Least Common Multiples of 8778

Related Least Common Multiples of 8784

Frequently Asked Questions on LCM of 8778 and 8784

1. What is the LCM of 8778 and 8784?

Answer: LCM of 8778 and 8784 is 12850992.

2. What are the Factors of 8778?

Answer: Factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778. There are 32 integers that are factors of 8778. The greatest factor of 8778 is 8778.

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 8778 and 8784?

Answer:

Least Common Multiple of 8778 and 8784 = 12850992

Step 1: Find the prime factorization of 8778

8778 = 2 x 3 x 7 x 11 x 19

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 = 12850992 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 19 x 61

Step 4: Therefore, the least common multiple of 8778 and 8784 is 12850992.