Least Common Multiple of 7994 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 7994 and 7998 the smallest integer that is 31968006 that is divisible by both numbers.

Least Common Multiple (LCM) of 7994 and 7998 is 31968006.

LCM(7994,7998) = 31968006

LCM of 7994 and 7998

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

LCM of:
and

Least Common Multiple of 7994 and 7998

LCM of 7994 and 7998 is 31968006

Least common multiple can be found by multiplying the highest exponent prime factors of 7994 and 7998. First we will calculate the prime factors of 7994 and 7998.

Prime Factorization of 7994


2 7994
7 3997
571 571
1

Prime factors of 7994 are 2, 7,571. Prime factorization of 7994 in exponential form is:

7994 = 21×71×5711

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 7994 and 7998.

LCM(7994,7998) = 21×31×71×311×431×5711
LCM(7994,7998) = 31968006

Factors of 7994

List of positive integer factors of 7994 that divides 7994 without a remainder.

1, 2, 7, 14, 571, 1142, 3997, 7994

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 7994 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 7994 and 7998, than apply into the LCM equation.

GCF(7994,7998) = 2
LCM(7994,7998) = ( 7994 × 7998) / 2
LCM(7994,7998) = 63936012 / 2
LCM(7994,7998) = 31968006

Properties of LCM 7994 and 7998

(i) The LCM of 7998 and 7994 is associative

LCM of 7994 and 7998 = LCM of 7998 and 7994

Related Least Common Multiples of 7994

Related Least Common Multiples of 7998

Frequently Asked Questions on LCM of 7994 and 7998

1. What is the LCM of 7994 and 7998?

Answer: LCM of 7994 and 7998 is 31968006.

2. What are the Factors of 7994?

Answer: Factors of 7994 are 1, 2, 7, 14, 571, 1142, 3997, 7994. There are 8 integers that are factors of 7994. The greatest factor of 7994 is 7994.

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 7994 and 7998?

Answer:

Least Common Multiple of 7994 and 7998 = 31968006

Step 1: Find the prime factorization of 7994

7994 = 2 x 7 x 571

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 = 31968006 = 2 x 3 x 7 x 31 x 43 x 571

Step 4: Therefore, the least common multiple of 7994 and 7998 is 31968006.