Least Common Multiple of 7931 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 7931 and 7936 the smallest integer that is 62940416 that is divisible by both numbers.

Least Common Multiple (LCM) of 7931 and 7936 is 62940416.

LCM(7931,7936) = 62940416

LCM of 7931 and 7936

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

LCM of:
and

Least Common Multiple of 7931 and 7936

LCM of 7931 and 7936 is 62940416

Least common multiple can be found by multiplying the highest exponent prime factors of 7931 and 7936. First we will calculate the prime factors of 7931 and 7936.

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 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 7931 and 7936.

LCM(7931,7936) = 28×71×111×311×1031
LCM(7931,7936) = 62940416

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 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 7931 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 7931 and 7936, than apply into the LCM equation.

GCF(7931,7936) = 1
LCM(7931,7936) = ( 7931 × 7936) / 1
LCM(7931,7936) = 62940416 / 1
LCM(7931,7936) = 62940416

Properties of LCM 7931 and 7936

(i) The LCM of 7936 and 7931 is associative

LCM of 7931 and 7936 = LCM of 7936 and 7931

Related Least Common Multiples of 7931

Related Least Common Multiples of 7936

Frequently Asked Questions on LCM of 7931 and 7936

1. What is the LCM of 7931 and 7936?

Answer: LCM of 7931 and 7936 is 62940416.

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 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 7931 and 7936?

Answer:

Least Common Multiple of 7931 and 7936 = 62940416

Step 1: Find the prime factorization of 7931

7931 = 7 x 11 x 103

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 = 62940416 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 31 x 103

Step 4: Therefore, the least common multiple of 7931 and 7936 is 62940416.