Least Common Multiple of 7930 and 7936

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 7936 the smallest integer that is 31466240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7930 and 7936 is 31466240.

LCM(7930,7936) = 31466240

LCM of 7930 and 7936

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

LCM of:
and

Least Common Multiple of 7930 and 7936

LCM of 7930 and 7936 is 31466240

Least common multiple can be found by multiplying the highest exponent prime factors of 7930 and 7936. First we will calculate the prime factors of 7930 and 7936.

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 7936


2 7936
2 3968
2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 7936 are 2,31. Prime factorization of 7936 in exponential form is:

7936 = 28×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7930 and 7936.

LCM(7930,7936) = 28×51×131×311×611
LCM(7930,7936) = 31466240

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 7936

List of positive integer factors of 7936 that divides 7936 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936

Least Common Multiple of 7930 and 7936 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 7936, than apply into the LCM equation.

GCF(7930,7936) = 2
LCM(7930,7936) = ( 7930 × 7936) / 2
LCM(7930,7936) = 62932480 / 2
LCM(7930,7936) = 31466240

Properties of LCM 7930 and 7936

(i) The LCM of 7936 and 7930 is associative

LCM of 7930 and 7936 = LCM of 7936 and 7930

Related Least Common Multiples of 7930

Related Least Common Multiples of 7936

Frequently Asked Questions on LCM of 7930 and 7936

1. What is the LCM of 7930 and 7936?

Answer: LCM of 7930 and 7936 is 31466240.

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 7936?

Answer: Factors of 7936 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936. There are 18 integers that are factors of 7936. The greatest factor of 7936 is 7936.

4. How to Find the LCM of 7930 and 7936?

Answer:

Least Common Multiple of 7930 and 7936 = 31466240

Step 1: Find the prime factorization of 7930

7930 = 2 x 5 x 13 x 61

Step 2: Find the prime factorization of 7936

7936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 31466240 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 31 x 61

Step 4: Therefore, the least common multiple of 7930 and 7936 is 31466240.