Least Common Multiple of 7936 and 7939

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 7939 the smallest integer that is 63003904 that is divisible by both numbers.

Least Common Multiple (LCM) of 7936 and 7939 is 63003904.

LCM(7936,7939) = 63003904

LCM of 7936 and 7939

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

LCM of:
and

Least Common Multiple of 7936 and 7939

LCM of 7936 and 7939 is 63003904

Least common multiple can be found by multiplying the highest exponent prime factors of 7936 and 7939. First we will calculate the prime factors of 7936 and 7939.

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 7939


17 7939
467 467
1

Prime factors of 7939 are 17,467. Prime factorization of 7939 in exponential form is:

7939 = 171×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 7936 and 7939.

LCM(7936,7939) = 28×171×311×4671
LCM(7936,7939) = 63003904

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 7939

List of positive integer factors of 7939 that divides 7939 without a remainder.

1, 17, 467, 7939

Least Common Multiple of 7936 and 7939 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 7939, than apply into the LCM equation.

GCF(7936,7939) = 1
LCM(7936,7939) = ( 7936 × 7939) / 1
LCM(7936,7939) = 63003904 / 1
LCM(7936,7939) = 63003904

Properties of LCM 7936 and 7939

(i) The LCM of 7939 and 7936 is associative

LCM of 7936 and 7939 = LCM of 7939 and 7936

Related Least Common Multiples of 7936

Related Least Common Multiples of 7939

Frequently Asked Questions on LCM of 7936 and 7939

1. What is the LCM of 7936 and 7939?

Answer: LCM of 7936 and 7939 is 63003904.

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 7939?

Answer: Factors of 7939 are 1, 17, 467, 7939. There are 4 integers that are factors of 7939. The greatest factor of 7939 is 7939.

4. How to Find the LCM of 7936 and 7939?

Answer:

Least Common Multiple of 7936 and 7939 = 63003904

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 7939

7939 = 17 x 467

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

LCM = 63003904 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 31 x 467

Step 4: Therefore, the least common multiple of 7936 and 7939 is 63003904.