Least Common Multiple of 7933 and 7941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7933 and 7941 the smallest integer that is 62995953 that is divisible by both numbers.

Least Common Multiple (LCM) of 7933 and 7941 is 62995953.

LCM(7933,7941) = 62995953

LCM of 7933 and 7941

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

LCM of:
and

Least Common Multiple of 7933 and 7941

LCM of 7933 and 7941 is 62995953

Least common multiple can be found by multiplying the highest exponent prime factors of 7933 and 7941. First we will calculate the prime factors of 7933 and 7941.

Prime Factorization of 7933


7933 7933
1

Prime factors of 7933 are 7933. Prime factorization of 7933 in exponential form is:

7933 = 79331

Prime Factorization of 7941


3 7941
2647 2647
1

Prime factors of 7941 are 3,2647. Prime factorization of 7941 in exponential form is:

7941 = 31×26471

Now multiplying the highest exponent prime factors to calculate the LCM of 7933 and 7941.

LCM(7933,7941) = 31×26471×79331
LCM(7933,7941) = 62995953

Factors of 7933

List of positive integer factors of 7933 that divides 7933 without a remainder.

1, 7933

Factors of 7941

List of positive integer factors of 7941 that divides 7941 without a remainder.

1, 3, 2647, 7941

Least Common Multiple of 7933 and 7941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7933 and 7941, than apply into the LCM equation.

GCF(7933,7941) = 1
LCM(7933,7941) = ( 7933 × 7941) / 1
LCM(7933,7941) = 62995953 / 1
LCM(7933,7941) = 62995953

Properties of LCM 7933 and 7941

(i) The LCM of 7941 and 7933 is associative

LCM of 7933 and 7941 = LCM of 7941 and 7933

Related Least Common Multiples of 7933

Related Least Common Multiples of 7941

Frequently Asked Questions on LCM of 7933 and 7941

1. What is the LCM of 7933 and 7941?

Answer: LCM of 7933 and 7941 is 62995953.

2. What are the Factors of 7933?

Answer: Factors of 7933 are 1, 7933. There are 2 integers that are factors of 7933. The greatest factor of 7933 is 7933.

3. What are the Factors of 7941?

Answer: Factors of 7941 are 1, 3, 2647, 7941. There are 4 integers that are factors of 7941. The greatest factor of 7941 is 7941.

4. How to Find the LCM of 7933 and 7941?

Answer:

Least Common Multiple of 7933 and 7941 = 62995953

Step 1: Find the prime factorization of 7933

7933 = 7933

Step 2: Find the prime factorization of 7941

7941 = 3 x 2647

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

LCM = 62995953 = 3 x 2647 x 7933

Step 4: Therefore, the least common multiple of 7933 and 7941 is 62995953.