Least Common Multiple of 8933 and 8939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8933 and 8939 the smallest integer that is 79852087 that is divisible by both numbers.

Least Common Multiple (LCM) of 8933 and 8939 is 79852087.

LCM(8933,8939) = 79852087

LCM of 8933 and 8939

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

LCM of:
and

Least Common Multiple of 8933 and 8939

LCM of 8933 and 8939 is 79852087

Least common multiple can be found by multiplying the highest exponent prime factors of 8933 and 8939. First we will calculate the prime factors of 8933 and 8939.

Prime Factorization of 8933


8933 8933
1

Prime factors of 8933 are 8933. Prime factorization of 8933 in exponential form is:

8933 = 89331

Prime Factorization of 8939


7 8939
1277 1277
1

Prime factors of 8939 are 7,1277. Prime factorization of 8939 in exponential form is:

8939 = 71×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 8933 and 8939.

LCM(8933,8939) = 71×12771×89331
LCM(8933,8939) = 79852087

Factors of 8933

List of positive integer factors of 8933 that divides 8933 without a remainder.

1, 8933

Factors of 8939

List of positive integer factors of 8939 that divides 8939 without a remainder.

1, 7, 1277, 8939

Least Common Multiple of 8933 and 8939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8933 and 8939, than apply into the LCM equation.

GCF(8933,8939) = 1
LCM(8933,8939) = ( 8933 × 8939) / 1
LCM(8933,8939) = 79852087 / 1
LCM(8933,8939) = 79852087

Properties of LCM 8933 and 8939

(i) The LCM of 8939 and 8933 is associative

LCM of 8933 and 8939 = LCM of 8939 and 8933

Frequently Asked Questions on LCM of 8933 and 8939

1. What is the LCM of 8933 and 8939?

Answer: LCM of 8933 and 8939 is 79852087.

2. What are the Factors of 8933?

Answer: Factors of 8933 are 1, 8933. There are 2 integers that are factors of 8933. The greatest factor of 8933 is 8933.

3. What are the Factors of 8939?

Answer: Factors of 8939 are 1, 7, 1277, 8939. There are 4 integers that are factors of 8939. The greatest factor of 8939 is 8939.

4. How to Find the LCM of 8933 and 8939?

Answer:

Least Common Multiple of 8933 and 8939 = 79852087

Step 1: Find the prime factorization of 8933

8933 = 8933

Step 2: Find the prime factorization of 8939

8939 = 7 x 1277

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

LCM = 79852087 = 7 x 1277 x 8933

Step 4: Therefore, the least common multiple of 8933 and 8939 is 79852087.