Least Common Multiple of 8776 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 8776 and 8784 the smallest integer that is 9636048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8776 and 8784 is 9636048.

LCM(8776,8784) = 9636048

LCM of 8776 and 8784

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

LCM of:
and

Least Common Multiple of 8776 and 8784

LCM of 8776 and 8784 is 9636048

Least common multiple can be found by multiplying the highest exponent prime factors of 8776 and 8784. First we will calculate the prime factors of 8776 and 8784.

Prime Factorization of 8776


2 8776
2 4388
2 2194
1097 1097
1

Prime factors of 8776 are 2,1097. Prime factorization of 8776 in exponential form is:

8776 = 23×10971

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 8776 and 8784.

LCM(8776,8784) = 24×32×611×10971
LCM(8776,8784) = 9636048

Factors of 8776

List of positive integer factors of 8776 that divides 8776 without a remainder.

1, 2, 4, 8, 1097, 2194, 4388, 8776

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 8776 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 8776 and 8784, than apply into the LCM equation.

GCF(8776,8784) = 8
LCM(8776,8784) = ( 8776 × 8784) / 8
LCM(8776,8784) = 77088384 / 8
LCM(8776,8784) = 9636048

Properties of LCM 8776 and 8784

(i) The LCM of 8784 and 8776 is associative

LCM of 8776 and 8784 = LCM of 8784 and 8776

Related Least Common Multiples of 8776

Related Least Common Multiples of 8784

Frequently Asked Questions on LCM of 8776 and 8784

1. What is the LCM of 8776 and 8784?

Answer: LCM of 8776 and 8784 is 9636048.

2. What are the Factors of 8776?

Answer: Factors of 8776 are 1, 2, 4, 8, 1097, 2194, 4388, 8776. There are 8 integers that are factors of 8776. The greatest factor of 8776 is 8776.

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 8776 and 8784?

Answer:

Least Common Multiple of 8776 and 8784 = 9636048

Step 1: Find the prime factorization of 8776

8776 = 2 x 2 x 2 x 1097

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 = 9636048 = 2 x 2 x 2 x 2 x 3 x 3 x 61 x 1097

Step 4: Therefore, the least common multiple of 8776 and 8784 is 9636048.