Least Common Multiple of 8937 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 8937 and 8941 the smallest integer that is 79905717 that is divisible by both numbers.

Least Common Multiple (LCM) of 8937 and 8941 is 79905717.

LCM(8937,8941) = 79905717

LCM of 8937 and 8941

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

LCM of:
and

Least Common Multiple of 8937 and 8941

LCM of 8937 and 8941 is 79905717

Least common multiple can be found by multiplying the highest exponent prime factors of 8937 and 8941. First we will calculate the prime factors of 8937 and 8941.

Prime Factorization of 8937


3 8937
3 2979
3 993
331 331
1

Prime factors of 8937 are 3,331. Prime factorization of 8937 in exponential form is:

8937 = 33×3311

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 8937 and 8941.

LCM(8937,8941) = 33×3311×89411
LCM(8937,8941) = 79905717

Factors of 8937

List of positive integer factors of 8937 that divides 8937 without a remainder.

1, 3, 9, 27, 331, 993, 2979, 8937

Factors of 8941

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

1, 8941

Least Common Multiple of 8937 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 8937 and 8941, than apply into the LCM equation.

GCF(8937,8941) = 1
LCM(8937,8941) = ( 8937 × 8941) / 1
LCM(8937,8941) = 79905717 / 1
LCM(8937,8941) = 79905717

Properties of LCM 8937 and 8941

(i) The LCM of 8941 and 8937 is associative

LCM of 8937 and 8941 = LCM of 8941 and 8937

Related Least Common Multiples of 8937

Related Least Common Multiples of 8941

Frequently Asked Questions on LCM of 8937 and 8941

1. What is the LCM of 8937 and 8941?

Answer: LCM of 8937 and 8941 is 79905717.

2. What are the Factors of 8937?

Answer: Factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937. There are 8 integers that are factors of 8937. The greatest factor of 8937 is 8937.

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 8937 and 8941?

Answer:

Least Common Multiple of 8937 and 8941 = 79905717

Step 1: Find the prime factorization of 8937

8937 = 3 x 3 x 3 x 331

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 = 79905717 = 3 x 3 x 3 x 331 x 8941

Step 4: Therefore, the least common multiple of 8937 and 8941 is 79905717.