Least Common Multiple of 7933 and 7939

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 7939 the smallest integer that is 62980087 that is divisible by both numbers.

Least Common Multiple (LCM) of 7933 and 7939 is 62980087.

LCM(7933,7939) = 62980087

LCM of 7933 and 7939

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

LCM of:
and

Least Common Multiple of 7933 and 7939

LCM of 7933 and 7939 is 62980087

Least common multiple can be found by multiplying the highest exponent prime factors of 7933 and 7939. First we will calculate the prime factors of 7933 and 7939.

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 7939


17 7939
467 467
1

Prime factors of 7939 are 17,467. Prime factorization of 7939 in exponential form is:

7939 = 171×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 7933 and 7939.

LCM(7933,7939) = 171×4671×79331
LCM(7933,7939) = 62980087

Factors of 7933

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

1, 7933

Factors of 7939

List of positive integer factors of 7939 that divides 7939 without a remainder.

1, 17, 467, 7939

Least Common Multiple of 7933 and 7939 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 7939, than apply into the LCM equation.

GCF(7933,7939) = 1
LCM(7933,7939) = ( 7933 × 7939) / 1
LCM(7933,7939) = 62980087 / 1
LCM(7933,7939) = 62980087

Properties of LCM 7933 and 7939

(i) The LCM of 7939 and 7933 is associative

LCM of 7933 and 7939 = LCM of 7939 and 7933

Related Least Common Multiples of 7933

Related Least Common Multiples of 7939

Frequently Asked Questions on LCM of 7933 and 7939

1. What is the LCM of 7933 and 7939?

Answer: LCM of 7933 and 7939 is 62980087.

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 7939?

Answer: Factors of 7939 are 1, 17, 467, 7939. There are 4 integers that are factors of 7939. The greatest factor of 7939 is 7939.

4. How to Find the LCM of 7933 and 7939?

Answer:

Least Common Multiple of 7933 and 7939 = 62980087

Step 1: Find the prime factorization of 7933

7933 = 7933

Step 2: Find the prime factorization of 7939

7939 = 17 x 467

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

LCM = 62980087 = 17 x 467 x 7933

Step 4: Therefore, the least common multiple of 7933 and 7939 is 62980087.