Least Common Multiple of 7927 and 7931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7927 and 7931 the smallest integer that is 62869037 that is divisible by both numbers.

Least Common Multiple (LCM) of 7927 and 7931 is 62869037.

LCM(7927,7931) = 62869037

LCM of 7927 and 7931

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

LCM of:
and

Least Common Multiple of 7927 and 7931

LCM of 7927 and 7931 is 62869037

Least common multiple can be found by multiplying the highest exponent prime factors of 7927 and 7931. First we will calculate the prime factors of 7927 and 7931.

Prime Factorization of 7927


7927 7927
1

Prime factors of 7927 are 7927. Prime factorization of 7927 in exponential form is:

7927 = 79271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7927 and 7931.

LCM(7927,7931) = 71×111×1031×79271
LCM(7927,7931) = 62869037

Factors of 7927

List of positive integer factors of 7927 that divides 7927 without a remainder.

1, 7927

Factors of 7931

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

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

Least Common Multiple of 7927 and 7931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7927 and 7931, than apply into the LCM equation.

GCF(7927,7931) = 1
LCM(7927,7931) = ( 7927 × 7931) / 1
LCM(7927,7931) = 62869037 / 1
LCM(7927,7931) = 62869037

Properties of LCM 7927 and 7931

(i) The LCM of 7931 and 7927 is associative

LCM of 7927 and 7931 = LCM of 7931 and 7927

Related Least Common Multiples of 7927

Related Least Common Multiples of 7931

Frequently Asked Questions on LCM of 7927 and 7931

1. What is the LCM of 7927 and 7931?

Answer: LCM of 7927 and 7931 is 62869037.

2. What are the Factors of 7927?

Answer: Factors of 7927 are 1, 7927. There are 2 integers that are factors of 7927. The greatest factor of 7927 is 7927.

3. 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.

4. How to Find the LCM of 7927 and 7931?

Answer:

Least Common Multiple of 7927 and 7931 = 62869037

Step 1: Find the prime factorization of 7927

7927 = 7927

Step 2: Find the prime factorization of 7931

7931 = 7 x 11 x 103

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

LCM = 62869037 = 7 x 11 x 103 x 7927

Step 4: Therefore, the least common multiple of 7927 and 7931 is 62869037.