Least Common Multiple of 8784 and 8790

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 8790 the smallest integer that is 12868560 that is divisible by both numbers.

Least Common Multiple (LCM) of 8784 and 8790 is 12868560.

LCM(8784,8790) = 12868560

LCM of 8784 and 8790

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

LCM of:
and

Least Common Multiple of 8784 and 8790

LCM of 8784 and 8790 is 12868560

Least common multiple can be found by multiplying the highest exponent prime factors of 8784 and 8790. First we will calculate the prime factors of 8784 and 8790.

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 8790


2 8790
3 4395
5 1465
293 293
1

Prime factors of 8790 are 2, 3, 5,293. Prime factorization of 8790 in exponential form is:

8790 = 21×31×51×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 8784 and 8790.

LCM(8784,8790) = 24×32×51×611×2931
LCM(8784,8790) = 12868560

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 8790

List of positive integer factors of 8790 that divides 8790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790

Least Common Multiple of 8784 and 8790 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 8790, than apply into the LCM equation.

GCF(8784,8790) = 6
LCM(8784,8790) = ( 8784 × 8790) / 6
LCM(8784,8790) = 77211360 / 6
LCM(8784,8790) = 12868560

Properties of LCM 8784 and 8790

(i) The LCM of 8790 and 8784 is associative

LCM of 8784 and 8790 = LCM of 8790 and 8784

Related Least Common Multiples of 8784

Related Least Common Multiples of 8790

Frequently Asked Questions on LCM of 8784 and 8790

1. What is the LCM of 8784 and 8790?

Answer: LCM of 8784 and 8790 is 12868560.

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 8790?

Answer: Factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790. There are 16 integers that are factors of 8790. The greatest factor of 8790 is 8790.

4. How to Find the LCM of 8784 and 8790?

Answer:

Least Common Multiple of 8784 and 8790 = 12868560

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 8790

8790 = 2 x 3 x 5 x 293

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

LCM = 12868560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 61 x 293

Step 4: Therefore, the least common multiple of 8784 and 8790 is 12868560.