Least Common Multiple of 8934 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 8934 and 8940 the smallest integer that is 13311660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8934 and 8940 is 13311660.

LCM(8934,8940) = 13311660

LCM of 8934 and 8940

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

LCM of:
and

Least Common Multiple of 8934 and 8940

LCM of 8934 and 8940 is 13311660

Least common multiple can be found by multiplying the highest exponent prime factors of 8934 and 8940. First we will calculate the prime factors of 8934 and 8940.

Prime Factorization of 8934


2 8934
3 4467
1489 1489
1

Prime factors of 8934 are 2, 3,1489. Prime factorization of 8934 in exponential form is:

8934 = 21×31×14891

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 8934 and 8940.

LCM(8934,8940) = 22×31×51×1491×14891
LCM(8934,8940) = 13311660

Factors of 8934

List of positive integer factors of 8934 that divides 8934 without a remainder.

1, 2, 3, 6, 1489, 2978, 4467, 8934

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 8934 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 8934 and 8940, than apply into the LCM equation.

GCF(8934,8940) = 6
LCM(8934,8940) = ( 8934 × 8940) / 6
LCM(8934,8940) = 79869960 / 6
LCM(8934,8940) = 13311660

Properties of LCM 8934 and 8940

(i) The LCM of 8940 and 8934 is associative

LCM of 8934 and 8940 = LCM of 8940 and 8934

Related Least Common Multiples of 8934

Related Least Common Multiples of 8940

Frequently Asked Questions on LCM of 8934 and 8940

1. What is the LCM of 8934 and 8940?

Answer: LCM of 8934 and 8940 is 13311660.

2. What are the Factors of 8934?

Answer: Factors of 8934 are 1, 2, 3, 6, 1489, 2978, 4467, 8934. There are 8 integers that are factors of 8934. The greatest factor of 8934 is 8934.

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 8934 and 8940?

Answer:

Least Common Multiple of 8934 and 8940 = 13311660

Step 1: Find the prime factorization of 8934

8934 = 2 x 3 x 1489

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 = 13311660 = 2 x 2 x 3 x 5 x 149 x 1489

Step 4: Therefore, the least common multiple of 8934 and 8940 is 13311660.