Least Common Multiple of 7993 and 7999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7993 and 7999 the smallest integer that is 63936007 that is divisible by both numbers.

Least Common Multiple (LCM) of 7993 and 7999 is 63936007.

LCM(7993,7999) = 63936007

LCM of 7993 and 7999

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

LCM of:
and

Least Common Multiple of 7993 and 7999

LCM of 7993 and 7999 is 63936007

Least common multiple can be found by multiplying the highest exponent prime factors of 7993 and 7999. First we will calculate the prime factors of 7993 and 7999.

Prime Factorization of 7993


7993 7993
1

Prime factors of 7993 are 7993. Prime factorization of 7993 in exponential form is:

7993 = 79931

Prime Factorization of 7999


19 7999
421 421
1

Prime factors of 7999 are 19,421. Prime factorization of 7999 in exponential form is:

7999 = 191×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 7993 and 7999.

LCM(7993,7999) = 191×4211×79931
LCM(7993,7999) = 63936007

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1, 7993

Factors of 7999

List of positive integer factors of 7999 that divides 7999 without a remainder.

1, 19, 421, 7999

Least Common Multiple of 7993 and 7999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7993 and 7999, than apply into the LCM equation.

GCF(7993,7999) = 1
LCM(7993,7999) = ( 7993 × 7999) / 1
LCM(7993,7999) = 63936007 / 1
LCM(7993,7999) = 63936007

Properties of LCM 7993 and 7999

(i) The LCM of 7999 and 7993 is associative

LCM of 7993 and 7999 = LCM of 7999 and 7993

Related Least Common Multiples of 7993

Related Least Common Multiples of 7999

Frequently Asked Questions on LCM of 7993 and 7999

1. What is the LCM of 7993 and 7999?

Answer: LCM of 7993 and 7999 is 63936007.

2. What are the Factors of 7993?

Answer: Factors of 7993 are 1, 7993. There are 2 integers that are factors of 7993. The greatest factor of 7993 is 7993.

3. What are the Factors of 7999?

Answer: Factors of 7999 are 1, 19, 421, 7999. There are 4 integers that are factors of 7999. The greatest factor of 7999 is 7999.

4. How to Find the LCM of 7993 and 7999?

Answer:

Least Common Multiple of 7993 and 7999 = 63936007

Step 1: Find the prime factorization of 7993

7993 = 7993

Step 2: Find the prime factorization of 7999

7999 = 19 x 421

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

LCM = 63936007 = 19 x 421 x 7993

Step 4: Therefore, the least common multiple of 7993 and 7999 is 63936007.