Least Common Multiple of 7930 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 7930 and 7938 the smallest integer that is 31474170 that is divisible by both numbers.

Least Common Multiple (LCM) of 7930 and 7938 is 31474170.

LCM(7930,7938) = 31474170

LCM of 7930 and 7938

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

LCM of:
and

Least Common Multiple of 7930 and 7938

LCM of 7930 and 7938 is 31474170

Least common multiple can be found by multiplying the highest exponent prime factors of 7930 and 7938. First we will calculate the prime factors of 7930 and 7938.

Prime Factorization of 7930


2 7930
5 3965
13 793
61 61
1

Prime factors of 7930 are 2, 5, 13,61. Prime factorization of 7930 in exponential form is:

7930 = 21×51×131×611

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 7930 and 7938.

LCM(7930,7938) = 21×34×51×72×131×611
LCM(7930,7938) = 31474170

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1, 2, 5, 10, 13, 26, 61, 65, 122, 130, 305, 610, 793, 1586, 3965, 7930

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 7930 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 7930 and 7938, than apply into the LCM equation.

GCF(7930,7938) = 2
LCM(7930,7938) = ( 7930 × 7938) / 2
LCM(7930,7938) = 62948340 / 2
LCM(7930,7938) = 31474170

Properties of LCM 7930 and 7938

(i) The LCM of 7938 and 7930 is associative

LCM of 7930 and 7938 = LCM of 7938 and 7930

Related Least Common Multiples of 7930

Related Least Common Multiples of 7938

Frequently Asked Questions on LCM of 7930 and 7938

1. What is the LCM of 7930 and 7938?

Answer: LCM of 7930 and 7938 is 31474170.

2. What are the Factors of 7930?

Answer: Factors of 7930 are 1, 2, 5, 10, 13, 26, 61, 65, 122, 130, 305, 610, 793, 1586, 3965, 7930. There are 16 integers that are factors of 7930. The greatest factor of 7930 is 7930.

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 7930 and 7938?

Answer:

Least Common Multiple of 7930 and 7938 = 31474170

Step 1: Find the prime factorization of 7930

7930 = 2 x 5 x 13 x 61

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 = 31474170 = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 13 x 61

Step 4: Therefore, the least common multiple of 7930 and 7938 is 31474170.