Least Common Multiple of 8827 and 8832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8827 and 8832 the smallest integer that is 77960064 that is divisible by both numbers.

Least Common Multiple (LCM) of 8827 and 8832 is 77960064.

LCM(8827,8832) = 77960064

LCM of 8827 and 8832

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

LCM of:
and

Least Common Multiple of 8827 and 8832

LCM of 8827 and 8832 is 77960064

Least common multiple can be found by multiplying the highest exponent prime factors of 8827 and 8832. First we will calculate the prime factors of 8827 and 8832.

Prime Factorization of 8827


7 8827
13 1261
97 97
1

Prime factors of 8827 are 7, 13,97. Prime factorization of 8827 in exponential form is:

8827 = 71×131×971

Prime Factorization of 8832


2 8832
2 4416
2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 8832 are 2, 3,23. Prime factorization of 8832 in exponential form is:

8832 = 27×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8827 and 8832.

LCM(8827,8832) = 27×31×71×131×231×971
LCM(8827,8832) = 77960064

Factors of 8827

List of positive integer factors of 8827 that divides 8827 without a remainder.

1, 7, 13, 91, 97, 679, 1261, 8827

Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832

Least Common Multiple of 8827 and 8832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8827 and 8832, than apply into the LCM equation.

GCF(8827,8832) = 1
LCM(8827,8832) = ( 8827 × 8832) / 1
LCM(8827,8832) = 77960064 / 1
LCM(8827,8832) = 77960064

Properties of LCM 8827 and 8832

(i) The LCM of 8832 and 8827 is associative

LCM of 8827 and 8832 = LCM of 8832 and 8827

Related Least Common Multiples of 8827

Related Least Common Multiples of 8832

Frequently Asked Questions on LCM of 8827 and 8832

1. What is the LCM of 8827 and 8832?

Answer: LCM of 8827 and 8832 is 77960064.

2. What are the Factors of 8827?

Answer: Factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827. There are 8 integers that are factors of 8827. The greatest factor of 8827 is 8827.

3. What are the Factors of 8832?

Answer: Factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832. There are 32 integers that are factors of 8832. The greatest factor of 8832 is 8832.

4. How to Find the LCM of 8827 and 8832?

Answer:

Least Common Multiple of 8827 and 8832 = 77960064

Step 1: Find the prime factorization of 8827

8827 = 7 x 13 x 97

Step 2: Find the prime factorization of 8832

8832 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

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

LCM = 77960064 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 23 x 97

Step 4: Therefore, the least common multiple of 8827 and 8832 is 77960064.