Least Common Multiple of 7933 and 7935

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 7935 the smallest integer that is 62948355 that is divisible by both numbers.

Least Common Multiple (LCM) of 7933 and 7935 is 62948355.

LCM(7933,7935) = 62948355

LCM of 7933 and 7935

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

LCM of:
and

Least Common Multiple of 7933 and 7935

LCM of 7933 and 7935 is 62948355

Least common multiple can be found by multiplying the highest exponent prime factors of 7933 and 7935. First we will calculate the prime factors of 7933 and 7935.

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 7935


3 7935
5 2645
23 529
23 23
1

Prime factors of 7935 are 3, 5,23. Prime factorization of 7935 in exponential form is:

7935 = 31×51×232

Now multiplying the highest exponent prime factors to calculate the LCM of 7933 and 7935.

LCM(7933,7935) = 31×51×232×79331
LCM(7933,7935) = 62948355

Factors of 7933

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

1, 7933

Factors of 7935

List of positive integer factors of 7935 that divides 7935 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935

Least Common Multiple of 7933 and 7935 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 7935, than apply into the LCM equation.

GCF(7933,7935) = 1
LCM(7933,7935) = ( 7933 × 7935) / 1
LCM(7933,7935) = 62948355 / 1
LCM(7933,7935) = 62948355

Properties of LCM 7933 and 7935

(i) The LCM of 7935 and 7933 is associative

LCM of 7933 and 7935 = LCM of 7935 and 7933

Related Least Common Multiples of 7933

Related Least Common Multiples of 7935

Frequently Asked Questions on LCM of 7933 and 7935

1. What is the LCM of 7933 and 7935?

Answer: LCM of 7933 and 7935 is 62948355.

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 7935?

Answer: Factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935. There are 12 integers that are factors of 7935. The greatest factor of 7935 is 7935.

4. How to Find the LCM of 7933 and 7935?

Answer:

Least Common Multiple of 7933 and 7935 = 62948355

Step 1: Find the prime factorization of 7933

7933 = 7933

Step 2: Find the prime factorization of 7935

7935 = 3 x 5 x 23 x 23

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

LCM = 62948355 = 3 x 5 x 23 x 23 x 7933

Step 4: Therefore, the least common multiple of 7933 and 7935 is 62948355.