Least Common Multiple of 6009 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 6009 and 6010 the smallest integer that is 36114090 that is divisible by both numbers.

Least Common Multiple (LCM) of 6009 and 6010 is 36114090.

LCM(6009,6010) = 36114090

LCM of 6009 and 6010

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

LCM of:
and

Least Common Multiple of 6009 and 6010

LCM of 6009 and 6010 is 36114090

Least common multiple can be found by multiplying the highest exponent prime factors of 6009 and 6010. First we will calculate the prime factors of 6009 and 6010.

Prime Factorization of 6009


3 6009
2003 2003
1

Prime factors of 6009 are 3,2003. Prime factorization of 6009 in exponential form is:

6009 = 31×20031

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 6009 and 6010.

LCM(6009,6010) = 21×31×51×6011×20031
LCM(6009,6010) = 36114090

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1, 3, 2003, 6009

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 6009 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 6009 and 6010, than apply into the LCM equation.

GCF(6009,6010) = 1
LCM(6009,6010) = ( 6009 × 6010) / 1
LCM(6009,6010) = 36114090 / 1
LCM(6009,6010) = 36114090

Properties of LCM 6009 and 6010

(i) The LCM of 6010 and 6009 is associative

LCM of 6009 and 6010 = LCM of 6010 and 6009

Related Least Common Multiples of 6009

Related Least Common Multiples of 6010

Frequently Asked Questions on LCM of 6009 and 6010

1. What is the LCM of 6009 and 6010?

Answer: LCM of 6009 and 6010 is 36114090.

2. What are the Factors of 6009?

Answer: Factors of 6009 are 1, 3, 2003, 6009. There are 4 integers that are factors of 6009. The greatest factor of 6009 is 6009.

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 6009 and 6010?

Answer:

Least Common Multiple of 6009 and 6010 = 36114090

Step 1: Find the prime factorization of 6009

6009 = 3 x 2003

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 = 36114090 = 2 x 3 x 5 x 601 x 2003

Step 4: Therefore, the least common multiple of 6009 and 6010 is 36114090.