Least Common Multiple of 5994 and 6001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5994 and 6001 the smallest integer that is 35969994 that is divisible by both numbers.

Least Common Multiple (LCM) of 5994 and 6001 is 35969994.

LCM(5994,6001) = 35969994

LCM of 5994 and 6001

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

LCM of:
and

Least Common Multiple of 5994 and 6001

LCM of 5994 and 6001 is 35969994

Least common multiple can be found by multiplying the highest exponent prime factors of 5994 and 6001. First we will calculate the prime factors of 5994 and 6001.

Prime Factorization of 5994


2 5994
3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 5994 are 2, 3,37. Prime factorization of 5994 in exponential form is:

5994 = 21×34×371

Prime Factorization of 6001


17 6001
353 353
1

Prime factors of 6001 are 17,353. Prime factorization of 6001 in exponential form is:

6001 = 171×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 5994 and 6001.

LCM(5994,6001) = 21×34×171×371×3531
LCM(5994,6001) = 35969994

Factors of 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994

Factors of 6001

List of positive integer factors of 6001 that divides 6001 without a remainder.

1, 17, 353, 6001

Least Common Multiple of 5994 and 6001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5994 and 6001, than apply into the LCM equation.

GCF(5994,6001) = 1
LCM(5994,6001) = ( 5994 × 6001) / 1
LCM(5994,6001) = 35969994 / 1
LCM(5994,6001) = 35969994

Properties of LCM 5994 and 6001

(i) The LCM of 6001 and 5994 is associative

LCM of 5994 and 6001 = LCM of 6001 and 5994

Frequently Asked Questions on LCM of 5994 and 6001

1. What is the LCM of 5994 and 6001?

Answer: LCM of 5994 and 6001 is 35969994.

2. What are the Factors of 5994?

Answer: Factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994. There are 20 integers that are factors of 5994. The greatest factor of 5994 is 5994.

3. What are the Factors of 6001?

Answer: Factors of 6001 are 1, 17, 353, 6001. There are 4 integers that are factors of 6001. The greatest factor of 6001 is 6001.

4. How to Find the LCM of 5994 and 6001?

Answer:

Least Common Multiple of 5994 and 6001 = 35969994

Step 1: Find the prime factorization of 5994

5994 = 2 x 3 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 6001

6001 = 17 x 353

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

LCM = 35969994 = 2 x 3 x 3 x 3 x 3 x 17 x 37 x 353

Step 4: Therefore, the least common multiple of 5994 and 6001 is 35969994.