Least Common Multiple of 7936 and 7943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7936 and 7943 the smallest integer that is 63035648 that is divisible by both numbers.

Least Common Multiple (LCM) of 7936 and 7943 is 63035648.

LCM(7936,7943) = 63035648

LCM of 7936 and 7943

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

LCM of:
and

Least Common Multiple of 7936 and 7943

LCM of 7936 and 7943 is 63035648

Least common multiple can be found by multiplying the highest exponent prime factors of 7936 and 7943. First we will calculate the prime factors of 7936 and 7943.

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

Prime Factorization of 7943


13 7943
13 611
47 47
1

Prime factors of 7943 are 13,47. Prime factorization of 7943 in exponential form is:

7943 = 132×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7936 and 7943.

LCM(7936,7943) = 28×132×311×471
LCM(7936,7943) = 63035648

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

Factors of 7943

List of positive integer factors of 7943 that divides 7943 without a remainder.

1, 13, 47, 169, 611, 7943

Least Common Multiple of 7936 and 7943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7936 and 7943, than apply into the LCM equation.

GCF(7936,7943) = 1
LCM(7936,7943) = ( 7936 × 7943) / 1
LCM(7936,7943) = 63035648 / 1
LCM(7936,7943) = 63035648

Properties of LCM 7936 and 7943

(i) The LCM of 7943 and 7936 is associative

LCM of 7936 and 7943 = LCM of 7943 and 7936

Related Least Common Multiples of 7936

Related Least Common Multiples of 7943

Frequently Asked Questions on LCM of 7936 and 7943

1. What is the LCM of 7936 and 7943?

Answer: LCM of 7936 and 7943 is 63035648.

2. 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.

3. What are the Factors of 7943?

Answer: Factors of 7943 are 1, 13, 47, 169, 611, 7943. There are 6 integers that are factors of 7943. The greatest factor of 7943 is 7943.

4. How to Find the LCM of 7936 and 7943?

Answer:

Least Common Multiple of 7936 and 7943 = 63035648

Step 1: 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 2: Find the prime factorization of 7943

7943 = 13 x 13 x 47

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

LCM = 63035648 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13 x 31 x 47

Step 4: Therefore, the least common multiple of 7936 and 7943 is 63035648.