Least Common Multiple of 7993 and 7997

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 7997 the smallest integer that is 63920021 that is divisible by both numbers.

Least Common Multiple (LCM) of 7993 and 7997 is 63920021.

LCM(7993,7997) = 63920021

LCM of 7993 and 7997

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

LCM of:
and

Least Common Multiple of 7993 and 7997

LCM of 7993 and 7997 is 63920021

Least common multiple can be found by multiplying the highest exponent prime factors of 7993 and 7997. First we will calculate the prime factors of 7993 and 7997.

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 7997


11 7997
727 727
1

Prime factors of 7997 are 11,727. Prime factorization of 7997 in exponential form is:

7997 = 111×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 7993 and 7997.

LCM(7993,7997) = 111×7271×79931
LCM(7993,7997) = 63920021

Factors of 7993

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

1, 7993

Factors of 7997

List of positive integer factors of 7997 that divides 7997 without a remainder.

1, 11, 727, 7997

Least Common Multiple of 7993 and 7997 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 7997, than apply into the LCM equation.

GCF(7993,7997) = 1
LCM(7993,7997) = ( 7993 × 7997) / 1
LCM(7993,7997) = 63920021 / 1
LCM(7993,7997) = 63920021

Properties of LCM 7993 and 7997

(i) The LCM of 7997 and 7993 is associative

LCM of 7993 and 7997 = LCM of 7997 and 7993

Related Least Common Multiples of 7993

Related Least Common Multiples of 7997

Frequently Asked Questions on LCM of 7993 and 7997

1. What is the LCM of 7993 and 7997?

Answer: LCM of 7993 and 7997 is 63920021.

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 7997?

Answer: Factors of 7997 are 1, 11, 727, 7997. There are 4 integers that are factors of 7997. The greatest factor of 7997 is 7997.

4. How to Find the LCM of 7993 and 7997?

Answer:

Least Common Multiple of 7993 and 7997 = 63920021

Step 1: Find the prime factorization of 7993

7993 = 7993

Step 2: Find the prime factorization of 7997

7997 = 11 x 727

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

LCM = 63920021 = 11 x 727 x 7993

Step 4: Therefore, the least common multiple of 7993 and 7997 is 63920021.