Least Common Multiple of 7993 and 7998

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 7998 the smallest integer that is 63928014 that is divisible by both numbers.

Least Common Multiple (LCM) of 7993 and 7998 is 63928014.

LCM(7993,7998) = 63928014

LCM of 7993 and 7998

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

LCM of:
and

Least Common Multiple of 7993 and 7998

LCM of 7993 and 7998 is 63928014

Least common multiple can be found by multiplying the highest exponent prime factors of 7993 and 7998. First we will calculate the prime factors of 7993 and 7998.

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 7998


2 7998
3 3999
31 1333
43 43
1

Prime factors of 7998 are 2, 3, 31,43. Prime factorization of 7998 in exponential form is:

7998 = 21×31×311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7993 and 7998.

LCM(7993,7998) = 21×31×311×431×79931
LCM(7993,7998) = 63928014

Factors of 7993

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

1, 7993

Factors of 7998

List of positive integer factors of 7998 that divides 7998 without a remainder.

1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998

Least Common Multiple of 7993 and 7998 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 7998, than apply into the LCM equation.

GCF(7993,7998) = 1
LCM(7993,7998) = ( 7993 × 7998) / 1
LCM(7993,7998) = 63928014 / 1
LCM(7993,7998) = 63928014

Properties of LCM 7993 and 7998

(i) The LCM of 7998 and 7993 is associative

LCM of 7993 and 7998 = LCM of 7998 and 7993

Related Least Common Multiples of 7993

Related Least Common Multiples of 7998

Frequently Asked Questions on LCM of 7993 and 7998

1. What is the LCM of 7993 and 7998?

Answer: LCM of 7993 and 7998 is 63928014.

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 7998?

Answer: Factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998. There are 16 integers that are factors of 7998. The greatest factor of 7998 is 7998.

4. How to Find the LCM of 7993 and 7998?

Answer:

Least Common Multiple of 7993 and 7998 = 63928014

Step 1: Find the prime factorization of 7993

7993 = 7993

Step 2: Find the prime factorization of 7998

7998 = 2 x 3 x 31 x 43

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

LCM = 63928014 = 2 x 3 x 31 x 43 x 7993

Step 4: Therefore, the least common multiple of 7993 and 7998 is 63928014.