Least Common Multiple of 1006 and 1009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1006 and 1009 the smallest integer that is 1015054 that is divisible by both numbers.

Least Common Multiple (LCM) of 1006 and 1009 is 1015054.

LCM(1006,1009) = 1015054

LCM of 1006 and 1009

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

LCM of:
and

Least Common Multiple of 1006 and 1009

LCM of 1006 and 1009 is 1015054

Least common multiple can be found by multiplying the highest exponent prime factors of 1006 and 1009. First we will calculate the prime factors of 1006 and 1009.

Prime Factorization of 1006


2 1006
503 503
1

Prime factors of 1006 are 2,503. Prime factorization of 1006 in exponential form is:

1006 = 21×5031

Prime Factorization of 1009


1009 1009
1

Prime factors of 1009 are 1009. Prime factorization of 1009 in exponential form is:

1009 = 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 1006 and 1009.

LCM(1006,1009) = 21×5031×10091
LCM(1006,1009) = 1015054

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1, 2, 503, 1006

Factors of 1009

List of positive integer factors of 1009 that divides 1009 without a remainder.

1, 1009

Least Common Multiple of 1006 and 1009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1006 and 1009, than apply into the LCM equation.

GCF(1006,1009) = 1
LCM(1006,1009) = ( 1006 × 1009) / 1
LCM(1006,1009) = 1015054 / 1
LCM(1006,1009) = 1015054

Properties of LCM 1006 and 1009

(i) The LCM of 1009 and 1006 is associative

LCM of 1006 and 1009 = LCM of 1009 and 1006

Related Least Common Multiples of 1006

Related Least Common Multiples of 1009

Frequently Asked Questions on LCM of 1006 and 1009

1. What is the LCM of 1006 and 1009?

Answer: LCM of 1006 and 1009 is 1015054.

2. What are the Factors of 1006?

Answer: Factors of 1006 are 1, 2, 503, 1006. There are 4 integers that are factors of 1006. The greatest factor of 1006 is 1006.

3. What are the Factors of 1009?

Answer: Factors of 1009 are 1, 1009. There are 2 integers that are factors of 1009. The greatest factor of 1009 is 1009.

4. How to Find the LCM of 1006 and 1009?

Answer:

Least Common Multiple of 1006 and 1009 = 1015054

Step 1: Find the prime factorization of 1006

1006 = 2 x 503

Step 2: Find the prime factorization of 1009

1009 = 1009

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

LCM = 1015054 = 2 x 503 x 1009

Step 4: Therefore, the least common multiple of 1006 and 1009 is 1015054.