Least Common Multiple of 6003 and 6010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6003 and 6010 the smallest integer that is 36078030 that is divisible by both numbers.

Least Common Multiple (LCM) of 6003 and 6010 is 36078030.

LCM(6003,6010) = 36078030

LCM of 6003 and 6010

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

LCM of:
and

Least Common Multiple of 6003 and 6010

LCM of 6003 and 6010 is 36078030

Least common multiple can be found by multiplying the highest exponent prime factors of 6003 and 6010. First we will calculate the prime factors of 6003 and 6010.

Prime Factorization of 6003


3 6003
3 2001
23 667
29 29
1

Prime factors of 6003 are 3, 23,29. Prime factorization of 6003 in exponential form is:

6003 = 32×231×291

Prime Factorization of 6010


2 6010
5 3005
601 601
1

Prime factors of 6010 are 2, 5,601. Prime factorization of 6010 in exponential form is:

6010 = 21×51×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 6003 and 6010.

LCM(6003,6010) = 21×32×51×231×291×6011
LCM(6003,6010) = 36078030

Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003

Factors of 6010

List of positive integer factors of 6010 that divides 6010 without a remainder.

1, 2, 5, 10, 601, 1202, 3005, 6010

Least Common Multiple of 6003 and 6010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6003 and 6010, than apply into the LCM equation.

GCF(6003,6010) = 1
LCM(6003,6010) = ( 6003 × 6010) / 1
LCM(6003,6010) = 36078030 / 1
LCM(6003,6010) = 36078030

Properties of LCM 6003 and 6010

(i) The LCM of 6010 and 6003 is associative

LCM of 6003 and 6010 = LCM of 6010 and 6003

Related Least Common Multiples of 6003

Related Least Common Multiples of 6010

Frequently Asked Questions on LCM of 6003 and 6010

1. What is the LCM of 6003 and 6010?

Answer: LCM of 6003 and 6010 is 36078030.

2. What are the Factors of 6003?

Answer: Factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. There are 12 integers that are factors of 6003. The greatest factor of 6003 is 6003.

3. What are the Factors of 6010?

Answer: Factors of 6010 are 1, 2, 5, 10, 601, 1202, 3005, 6010. There are 8 integers that are factors of 6010. The greatest factor of 6010 is 6010.

4. How to Find the LCM of 6003 and 6010?

Answer:

Least Common Multiple of 6003 and 6010 = 36078030

Step 1: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

Step 2: Find the prime factorization of 6010

6010 = 2 x 5 x 601

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

LCM = 36078030 = 2 x 3 x 3 x 5 x 23 x 29 x 601

Step 4: Therefore, the least common multiple of 6003 and 6010 is 36078030.