Least Common Multiple of 8933 and 8940

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 8940 the smallest integer that is 79861020 that is divisible by both numbers.

Least Common Multiple (LCM) of 8933 and 8940 is 79861020.

LCM(8933,8940) = 79861020

LCM of 8933 and 8940

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

LCM of:
and

Least Common Multiple of 8933 and 8940

LCM of 8933 and 8940 is 79861020

Least common multiple can be found by multiplying the highest exponent prime factors of 8933 and 8940. First we will calculate the prime factors of 8933 and 8940.

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 8940


2 8940
2 4470
3 2235
5 745
149 149
1

Prime factors of 8940 are 2, 3, 5,149. Prime factorization of 8940 in exponential form is:

8940 = 22×31×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8933 and 8940.

LCM(8933,8940) = 22×31×51×1491×89331
LCM(8933,8940) = 79861020

Factors of 8933

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

1, 8933

Factors of 8940

List of positive integer factors of 8940 that divides 8940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940

Least Common Multiple of 8933 and 8940 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 8940, than apply into the LCM equation.

GCF(8933,8940) = 1
LCM(8933,8940) = ( 8933 × 8940) / 1
LCM(8933,8940) = 79861020 / 1
LCM(8933,8940) = 79861020

Properties of LCM 8933 and 8940

(i) The LCM of 8940 and 8933 is associative

LCM of 8933 and 8940 = LCM of 8940 and 8933

Related Least Common Multiples of 8933

Related Least Common Multiples of 8940

Frequently Asked Questions on LCM of 8933 and 8940

1. What is the LCM of 8933 and 8940?

Answer: LCM of 8933 and 8940 is 79861020.

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 8940?

Answer: Factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940. There are 24 integers that are factors of 8940. The greatest factor of 8940 is 8940.

4. How to Find the LCM of 8933 and 8940?

Answer:

Least Common Multiple of 8933 and 8940 = 79861020

Step 1: Find the prime factorization of 8933

8933 = 8933

Step 2: Find the prime factorization of 8940

8940 = 2 x 2 x 3 x 5 x 149

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

LCM = 79861020 = 2 x 2 x 3 x 5 x 149 x 8933

Step 4: Therefore, the least common multiple of 8933 and 8940 is 79861020.