Least Common Multiple of 7928 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 7928 and 7936 the smallest integer that is 7864576 that is divisible by both numbers.

Least Common Multiple (LCM) of 7928 and 7936 is 7864576.

LCM(7928,7936) = 7864576

LCM of 7928 and 7936

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

LCM of:
and

Least Common Multiple of 7928 and 7936

LCM of 7928 and 7936 is 7864576

Least common multiple can be found by multiplying the highest exponent prime factors of 7928 and 7936. First we will calculate the prime factors of 7928 and 7936.

Prime Factorization of 7928


2 7928
2 3964
2 1982
991 991
1

Prime factors of 7928 are 2,991. Prime factorization of 7928 in exponential form is:

7928 = 23×9911

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 7928 and 7936.

LCM(7928,7936) = 28×311×9911
LCM(7928,7936) = 7864576

Factors of 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1, 2, 4, 8, 991, 1982, 3964, 7928

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 7928 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 7928 and 7936, than apply into the LCM equation.

GCF(7928,7936) = 8
LCM(7928,7936) = ( 7928 × 7936) / 8
LCM(7928,7936) = 62916608 / 8
LCM(7928,7936) = 7864576

Properties of LCM 7928 and 7936

(i) The LCM of 7936 and 7928 is associative

LCM of 7928 and 7936 = LCM of 7936 and 7928

Related Least Common Multiples of 7928

Related Least Common Multiples of 7936

Frequently Asked Questions on LCM of 7928 and 7936

1. What is the LCM of 7928 and 7936?

Answer: LCM of 7928 and 7936 is 7864576.

2. What are the Factors of 7928?

Answer: Factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928. There are 8 integers that are factors of 7928. The greatest factor of 7928 is 7928.

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 7928 and 7936?

Answer:

Least Common Multiple of 7928 and 7936 = 7864576

Step 1: Find the prime factorization of 7928

7928 = 2 x 2 x 2 x 991

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 = 7864576 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31 x 991

Step 4: Therefore, the least common multiple of 7928 and 7936 is 7864576.