Least Common Multiple of 7931 and 7938

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 7938 the smallest integer that is 8993754 that is divisible by both numbers.

Least Common Multiple (LCM) of 7931 and 7938 is 8993754.

LCM(7931,7938) = 8993754

LCM of 7931 and 7938

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

LCM of:
and

Least Common Multiple of 7931 and 7938

LCM of 7931 and 7938 is 8993754

Least common multiple can be found by multiplying the highest exponent prime factors of 7931 and 7938. First we will calculate the prime factors of 7931 and 7938.

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 7938


2 7938
3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 7938 are 2, 3,7. Prime factorization of 7938 in exponential form is:

7938 = 21×34×72

Now multiplying the highest exponent prime factors to calculate the LCM of 7931 and 7938.

LCM(7931,7938) = 21×34×72×111×1031
LCM(7931,7938) = 8993754

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 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938

Least Common Multiple of 7931 and 7938 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 7938, than apply into the LCM equation.

GCF(7931,7938) = 7
LCM(7931,7938) = ( 7931 × 7938) / 7
LCM(7931,7938) = 62956278 / 7
LCM(7931,7938) = 8993754

Properties of LCM 7931 and 7938

(i) The LCM of 7938 and 7931 is associative

LCM of 7931 and 7938 = LCM of 7938 and 7931

Related Least Common Multiples of 7931

Related Least Common Multiples of 7938

Frequently Asked Questions on LCM of 7931 and 7938

1. What is the LCM of 7931 and 7938?

Answer: LCM of 7931 and 7938 is 8993754.

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 7938?

Answer: Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938. There are 30 integers that are factors of 7938. The greatest factor of 7938 is 7938.

4. How to Find the LCM of 7931 and 7938?

Answer:

Least Common Multiple of 7931 and 7938 = 8993754

Step 1: Find the prime factorization of 7931

7931 = 7 x 11 x 103

Step 2: Find the prime factorization of 7938

7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7

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

LCM = 8993754 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 7931 and 7938 is 8993754.