Least Common Multiple of 8934 and 8941

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 8941 the smallest integer that is 79878894 that is divisible by both numbers.

Least Common Multiple (LCM) of 8934 and 8941 is 79878894.

LCM(8934,8941) = 79878894

LCM of 8934 and 8941

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

LCM of:
and

Least Common Multiple of 8934 and 8941

LCM of 8934 and 8941 is 79878894

Least common multiple can be found by multiplying the highest exponent prime factors of 8934 and 8941. First we will calculate the prime factors of 8934 and 8941.

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 8941


8941 8941
1

Prime factors of 8941 are 8941. Prime factorization of 8941 in exponential form is:

8941 = 89411

Now multiplying the highest exponent prime factors to calculate the LCM of 8934 and 8941.

LCM(8934,8941) = 21×31×14891×89411
LCM(8934,8941) = 79878894

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 8941

List of positive integer factors of 8941 that divides 8941 without a remainder.

1, 8941

Least Common Multiple of 8934 and 8941 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 8941, than apply into the LCM equation.

GCF(8934,8941) = 1
LCM(8934,8941) = ( 8934 × 8941) / 1
LCM(8934,8941) = 79878894 / 1
LCM(8934,8941) = 79878894

Properties of LCM 8934 and 8941

(i) The LCM of 8941 and 8934 is associative

LCM of 8934 and 8941 = LCM of 8941 and 8934

Related Least Common Multiples of 8934

Related Least Common Multiples of 8941

Frequently Asked Questions on LCM of 8934 and 8941

1. What is the LCM of 8934 and 8941?

Answer: LCM of 8934 and 8941 is 79878894.

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 8941?

Answer: Factors of 8941 are 1, 8941. There are 2 integers that are factors of 8941. The greatest factor of 8941 is 8941.

4. How to Find the LCM of 8934 and 8941?

Answer:

Least Common Multiple of 8934 and 8941 = 79878894

Step 1: Find the prime factorization of 8934

8934 = 2 x 3 x 1489

Step 2: Find the prime factorization of 8941

8941 = 8941

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

LCM = 79878894 = 2 x 3 x 1489 x 8941

Step 4: Therefore, the least common multiple of 8934 and 8941 is 79878894.