Least Common Multiple of 8832 and 8839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8832 and 8839 the smallest integer that is 78066048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8832 and 8839 is 78066048.

LCM(8832,8839) = 78066048

LCM of 8832 and 8839

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

LCM of:
and

Least Common Multiple of 8832 and 8839

LCM of 8832 and 8839 is 78066048

Least common multiple can be found by multiplying the highest exponent prime factors of 8832 and 8839. First we will calculate the prime factors of 8832 and 8839.

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

Prime Factorization of 8839


8839 8839
1

Prime factors of 8839 are 8839. Prime factorization of 8839 in exponential form is:

8839 = 88391

Now multiplying the highest exponent prime factors to calculate the LCM of 8832 and 8839.

LCM(8832,8839) = 27×31×231×88391
LCM(8832,8839) = 78066048

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

Factors of 8839

List of positive integer factors of 8839 that divides 8839 without a remainder.

1, 8839

Least Common Multiple of 8832 and 8839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8832 and 8839, than apply into the LCM equation.

GCF(8832,8839) = 1
LCM(8832,8839) = ( 8832 × 8839) / 1
LCM(8832,8839) = 78066048 / 1
LCM(8832,8839) = 78066048

Properties of LCM 8832 and 8839

(i) The LCM of 8839 and 8832 is associative

LCM of 8832 and 8839 = LCM of 8839 and 8832

Related Least Common Multiples of 8832

Related Least Common Multiples of 8839

Frequently Asked Questions on LCM of 8832 and 8839

1. What is the LCM of 8832 and 8839?

Answer: LCM of 8832 and 8839 is 78066048.

2. 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.

3. What are the Factors of 8839?

Answer: Factors of 8839 are 1, 8839. There are 2 integers that are factors of 8839. The greatest factor of 8839 is 8839.

4. How to Find the LCM of 8832 and 8839?

Answer:

Least Common Multiple of 8832 and 8839 = 78066048

Step 1: 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 2: Find the prime factorization of 8839

8839 = 8839

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

LCM = 78066048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 8839

Step 4: Therefore, the least common multiple of 8832 and 8839 is 78066048.