Least Common Multiple of 7928 and 7933

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 7933 the smallest integer that is 62892824 that is divisible by both numbers.

Least Common Multiple (LCM) of 7928 and 7933 is 62892824.

LCM(7928,7933) = 62892824

LCM of 7928 and 7933

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

LCM of:
and

Least Common Multiple of 7928 and 7933

LCM of 7928 and 7933 is 62892824

Least common multiple can be found by multiplying the highest exponent prime factors of 7928 and 7933. First we will calculate the prime factors of 7928 and 7933.

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 7933


7933 7933
1

Prime factors of 7933 are 7933. Prime factorization of 7933 in exponential form is:

7933 = 79331

Now multiplying the highest exponent prime factors to calculate the LCM of 7928 and 7933.

LCM(7928,7933) = 23×9911×79331
LCM(7928,7933) = 62892824

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 7933

List of positive integer factors of 7933 that divides 7933 without a remainder.

1, 7933

Least Common Multiple of 7928 and 7933 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 7933, than apply into the LCM equation.

GCF(7928,7933) = 1
LCM(7928,7933) = ( 7928 × 7933) / 1
LCM(7928,7933) = 62892824 / 1
LCM(7928,7933) = 62892824

Properties of LCM 7928 and 7933

(i) The LCM of 7933 and 7928 is associative

LCM of 7928 and 7933 = LCM of 7933 and 7928

Related Least Common Multiples of 7928

Related Least Common Multiples of 7933

Frequently Asked Questions on LCM of 7928 and 7933

1. What is the LCM of 7928 and 7933?

Answer: LCM of 7928 and 7933 is 62892824.

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 7933?

Answer: Factors of 7933 are 1, 7933. There are 2 integers that are factors of 7933. The greatest factor of 7933 is 7933.

4. How to Find the LCM of 7928 and 7933?

Answer:

Least Common Multiple of 7928 and 7933 = 62892824

Step 1: Find the prime factorization of 7928

7928 = 2 x 2 x 2 x 991

Step 2: Find the prime factorization of 7933

7933 = 7933

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

LCM = 62892824 = 2 x 2 x 2 x 991 x 7933

Step 4: Therefore, the least common multiple of 7928 and 7933 is 62892824.