Least Common Multiple of 7931 and 7933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7931 and 7933 the smallest integer that is 62916623 that is divisible by both numbers.

Least Common Multiple (LCM) of 7931 and 7933 is 62916623.

LCM(7931,7933) = 62916623

LCM of 7931 and 7933

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

LCM of:
and

Least Common Multiple of 7931 and 7933

LCM of 7931 and 7933 is 62916623

Least common multiple can be found by multiplying the highest exponent prime factors of 7931 and 7933. First we will calculate the prime factors of 7931 and 7933.

Prime Factorization of 7931


7 7931
11 1133
103 103
1

Prime factors of 7931 are 7, 11,103. Prime factorization of 7931 in exponential form is:

7931 = 71×111×1031

Prime Factorization of 7933


7933 7933
1

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

7933 = 79331

Now multiplying the highest exponent prime factors to calculate the LCM of 7931 and 7933.

LCM(7931,7933) = 71×111×1031×79331
LCM(7931,7933) = 62916623

Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1, 7, 11, 77, 103, 721, 1133, 7931

Factors of 7933

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

1, 7933

Least Common Multiple of 7931 and 7933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7931 and 7933, than apply into the LCM equation.

GCF(7931,7933) = 1
LCM(7931,7933) = ( 7931 × 7933) / 1
LCM(7931,7933) = 62916623 / 1
LCM(7931,7933) = 62916623

Properties of LCM 7931 and 7933

(i) The LCM of 7933 and 7931 is associative

LCM of 7931 and 7933 = LCM of 7933 and 7931

Related Least Common Multiples of 7931

Related Least Common Multiples of 7933

Frequently Asked Questions on LCM of 7931 and 7933

1. What is the LCM of 7931 and 7933?

Answer: LCM of 7931 and 7933 is 62916623.

2. What are the Factors of 7931?

Answer: Factors of 7931 are 1, 7, 11, 77, 103, 721, 1133, 7931. There are 8 integers that are factors of 7931. The greatest factor of 7931 is 7931.

3. 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.

4. How to Find the LCM of 7931 and 7933?

Answer:

Least Common Multiple of 7931 and 7933 = 62916623

Step 1: Find the prime factorization of 7931

7931 = 7 x 11 x 103

Step 2: Find the prime factorization of 7933

7933 = 7933

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

LCM = 62916623 = 7 x 11 x 103 x 7933

Step 4: Therefore, the least common multiple of 7931 and 7933 is 62916623.