Least Common Multiple of 8933 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 8933 and 8941 the smallest integer that is 79869953 that is divisible by both numbers.

Least Common Multiple (LCM) of 8933 and 8941 is 79869953.

LCM(8933,8941) = 79869953

LCM of 8933 and 8941

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

LCM of:
and

Least Common Multiple of 8933 and 8941

LCM of 8933 and 8941 is 79869953

Least common multiple can be found by multiplying the highest exponent prime factors of 8933 and 8941. First we will calculate the prime factors of 8933 and 8941.

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 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 8933 and 8941.

LCM(8933,8941) = 89331×89411
LCM(8933,8941) = 79869953

Factors of 8933

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

1, 8933

Factors of 8941

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

1, 8941

Least Common Multiple of 8933 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 8933 and 8941, than apply into the LCM equation.

GCF(8933,8941) = 1
LCM(8933,8941) = ( 8933 × 8941) / 1
LCM(8933,8941) = 79869953 / 1
LCM(8933,8941) = 79869953

Properties of LCM 8933 and 8941

(i) The LCM of 8941 and 8933 is associative

LCM of 8933 and 8941 = LCM of 8941 and 8933

Related Least Common Multiples of 8933

Related Least Common Multiples of 8941

Frequently Asked Questions on LCM of 8933 and 8941

1. What is the LCM of 8933 and 8941?

Answer: LCM of 8933 and 8941 is 79869953.

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 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 8933 and 8941?

Answer:

Least Common Multiple of 8933 and 8941 = 79869953

Step 1: Find the prime factorization of 8933

8933 = 8933

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 = 79869953 = 8933 x 8941

Step 4: Therefore, the least common multiple of 8933 and 8941 is 79869953.