Least Common Multiple of 8839 and 8843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8839 and 8843 the smallest integer that is 78163277 that is divisible by both numbers.

Least Common Multiple (LCM) of 8839 and 8843 is 78163277.

LCM(8839,8843) = 78163277

LCM of 8839 and 8843

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

LCM of:
and

Least Common Multiple of 8839 and 8843

LCM of 8839 and 8843 is 78163277

Least common multiple can be found by multiplying the highest exponent prime factors of 8839 and 8843. First we will calculate the prime factors of 8839 and 8843.

Prime Factorization of 8839


8839 8839
1

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

8839 = 88391

Prime Factorization of 8843


37 8843
239 239
1

Prime factors of 8843 are 37,239. Prime factorization of 8843 in exponential form is:

8843 = 371×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8839 and 8843.

LCM(8839,8843) = 371×2391×88391
LCM(8839,8843) = 78163277

Factors of 8839

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

1, 8839

Factors of 8843

List of positive integer factors of 8843 that divides 8843 without a remainder.

1, 37, 239, 8843

Least Common Multiple of 8839 and 8843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8839 and 8843, than apply into the LCM equation.

GCF(8839,8843) = 1
LCM(8839,8843) = ( 8839 × 8843) / 1
LCM(8839,8843) = 78163277 / 1
LCM(8839,8843) = 78163277

Properties of LCM 8839 and 8843

(i) The LCM of 8843 and 8839 is associative

LCM of 8839 and 8843 = LCM of 8843 and 8839

Frequently Asked Questions on LCM of 8839 and 8843

1. What is the LCM of 8839 and 8843?

Answer: LCM of 8839 and 8843 is 78163277.

2. 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.

3. What are the Factors of 8843?

Answer: Factors of 8843 are 1, 37, 239, 8843. There are 4 integers that are factors of 8843. The greatest factor of 8843 is 8843.

4. How to Find the LCM of 8839 and 8843?

Answer:

Least Common Multiple of 8839 and 8843 = 78163277

Step 1: Find the prime factorization of 8839

8839 = 8839

Step 2: Find the prime factorization of 8843

8843 = 37 x 239

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

LCM = 78163277 = 37 x 239 x 8839

Step 4: Therefore, the least common multiple of 8839 and 8843 is 78163277.