Least Common Multiple of 7928 and 7934

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 7934 the smallest integer that is 31450376 that is divisible by both numbers.

Least Common Multiple (LCM) of 7928 and 7934 is 31450376.

LCM(7928,7934) = 31450376

LCM of 7928 and 7934

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

LCM of:
and

Least Common Multiple of 7928 and 7934

LCM of 7928 and 7934 is 31450376

Least common multiple can be found by multiplying the highest exponent prime factors of 7928 and 7934. First we will calculate the prime factors of 7928 and 7934.

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 7934


2 7934
3967 3967
1

Prime factors of 7934 are 2,3967. Prime factorization of 7934 in exponential form is:

7934 = 21×39671

Now multiplying the highest exponent prime factors to calculate the LCM of 7928 and 7934.

LCM(7928,7934) = 23×9911×39671
LCM(7928,7934) = 31450376

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 7934

List of positive integer factors of 7934 that divides 7934 without a remainder.

1, 2, 3967, 7934

Least Common Multiple of 7928 and 7934 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 7934, than apply into the LCM equation.

GCF(7928,7934) = 2
LCM(7928,7934) = ( 7928 × 7934) / 2
LCM(7928,7934) = 62900752 / 2
LCM(7928,7934) = 31450376

Properties of LCM 7928 and 7934

(i) The LCM of 7934 and 7928 is associative

LCM of 7928 and 7934 = LCM of 7934 and 7928

Related Least Common Multiples of 7928

Related Least Common Multiples of 7934

Frequently Asked Questions on LCM of 7928 and 7934

1. What is the LCM of 7928 and 7934?

Answer: LCM of 7928 and 7934 is 31450376.

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 7934?

Answer: Factors of 7934 are 1, 2, 3967, 7934. There are 4 integers that are factors of 7934. The greatest factor of 7934 is 7934.

4. How to Find the LCM of 7928 and 7934?

Answer:

Least Common Multiple of 7928 and 7934 = 31450376

Step 1: Find the prime factorization of 7928

7928 = 2 x 2 x 2 x 991

Step 2: Find the prime factorization of 7934

7934 = 2 x 3967

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

LCM = 31450376 = 2 x 2 x 2 x 991 x 3967

Step 4: Therefore, the least common multiple of 7928 and 7934 is 31450376.