Least Common Multiple of 5996 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 5996 and 6001 the smallest integer that is 35981996 that is divisible by both numbers.

Least Common Multiple (LCM) of 5996 and 6001 is 35981996.

LCM(5996,6001) = 35981996

LCM of 5996 and 6001

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

LCM of:
and

Least Common Multiple of 5996 and 6001

LCM of 5996 and 6001 is 35981996

Least common multiple can be found by multiplying the highest exponent prime factors of 5996 and 6001. First we will calculate the prime factors of 5996 and 6001.

Prime Factorization of 5996


2 5996
2 2998
1499 1499
1

Prime factors of 5996 are 2,1499. Prime factorization of 5996 in exponential form is:

5996 = 22×14991

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 5996 and 6001.

LCM(5996,6001) = 22×171×3531×14991
LCM(5996,6001) = 35981996

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1, 2, 4, 1499, 2998, 5996

Factors of 6001

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

1, 17, 353, 6001

Least Common Multiple of 5996 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 5996 and 6001, than apply into the LCM equation.

GCF(5996,6001) = 1
LCM(5996,6001) = ( 5996 × 6001) / 1
LCM(5996,6001) = 35981996 / 1
LCM(5996,6001) = 35981996

Properties of LCM 5996 and 6001

(i) The LCM of 6001 and 5996 is associative

LCM of 5996 and 6001 = LCM of 6001 and 5996

Related Least Common Multiples of 5996

Related Least Common Multiples of 6001

Frequently Asked Questions on LCM of 5996 and 6001

1. What is the LCM of 5996 and 6001?

Answer: LCM of 5996 and 6001 is 35981996.

2. What are the Factors of 5996?

Answer: Factors of 5996 are 1, 2, 4, 1499, 2998, 5996. There are 6 integers that are factors of 5996. The greatest factor of 5996 is 5996.

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 5996 and 6001?

Answer:

Least Common Multiple of 5996 and 6001 = 35981996

Step 1: Find the prime factorization of 5996

5996 = 2 x 2 x 1499

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 = 35981996 = 2 x 2 x 17 x 353 x 1499

Step 4: Therefore, the least common multiple of 5996 and 6001 is 35981996.