Least Common Multiple of 7926 and 7930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7926 and 7930 the smallest integer that is 31426590 that is divisible by both numbers.

Least Common Multiple (LCM) of 7926 and 7930 is 31426590.

LCM(7926,7930) = 31426590

LCM of 7926 and 7930

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

LCM of:
and

Least Common Multiple of 7926 and 7930

LCM of 7926 and 7930 is 31426590

Least common multiple can be found by multiplying the highest exponent prime factors of 7926 and 7930. First we will calculate the prime factors of 7926 and 7930.

Prime Factorization of 7926


2 7926
3 3963
1321 1321
1

Prime factors of 7926 are 2, 3,1321. Prime factorization of 7926 in exponential form is:

7926 = 21×31×13211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7926 and 7930.

LCM(7926,7930) = 21×31×51×131×611×13211
LCM(7926,7930) = 31426590

Factors of 7926

List of positive integer factors of 7926 that divides 7926 without a remainder.

1, 2, 3, 6, 1321, 2642, 3963, 7926

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

Least Common Multiple of 7926 and 7930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7926 and 7930, than apply into the LCM equation.

GCF(7926,7930) = 2
LCM(7926,7930) = ( 7926 × 7930) / 2
LCM(7926,7930) = 62853180 / 2
LCM(7926,7930) = 31426590

Properties of LCM 7926 and 7930

(i) The LCM of 7930 and 7926 is associative

LCM of 7926 and 7930 = LCM of 7930 and 7926

Related Least Common Multiples of 7926

Related Least Common Multiples of 7930

Frequently Asked Questions on LCM of 7926 and 7930

1. What is the LCM of 7926 and 7930?

Answer: LCM of 7926 and 7930 is 31426590.

2. What are the Factors of 7926?

Answer: Factors of 7926 are 1, 2, 3, 6, 1321, 2642, 3963, 7926. There are 8 integers that are factors of 7926. The greatest factor of 7926 is 7926.

3. 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.

4. How to Find the LCM of 7926 and 7930?

Answer:

Least Common Multiple of 7926 and 7930 = 31426590

Step 1: Find the prime factorization of 7926

7926 = 2 x 3 x 1321

Step 2: Find the prime factorization of 7930

7930 = 2 x 5 x 13 x 61

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

LCM = 31426590 = 2 x 3 x 5 x 13 x 61 x 1321

Step 4: Therefore, the least common multiple of 7926 and 7930 is 31426590.