Least Common Multiple of 1009 and 1017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1009 and 1017 the smallest integer that is 1026153 that is divisible by both numbers.

Least Common Multiple (LCM) of 1009 and 1017 is 1026153.

LCM(1009,1017) = 1026153

LCM of 1009 and 1017

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

LCM of:
and

Least Common Multiple of 1009 and 1017

LCM of 1009 and 1017 is 1026153

Least common multiple can be found by multiplying the highest exponent prime factors of 1009 and 1017. First we will calculate the prime factors of 1009 and 1017.

Prime Factorization of 1009


1009 1009
1

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

1009 = 10091

Prime Factorization of 1017


3 1017
3 339
113 113
1

Prime factors of 1017 are 3,113. Prime factorization of 1017 in exponential form is:

1017 = 32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1009 and 1017.

LCM(1009,1017) = 32×1131×10091
LCM(1009,1017) = 1026153

Factors of 1009

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

1, 1009

Factors of 1017

List of positive integer factors of 1017 that divides 1017 without a remainder.

1, 3, 9, 113, 339, 1017

Least Common Multiple of 1009 and 1017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1009 and 1017, than apply into the LCM equation.

GCF(1009,1017) = 1
LCM(1009,1017) = ( 1009 × 1017) / 1
LCM(1009,1017) = 1026153 / 1
LCM(1009,1017) = 1026153

Properties of LCM 1009 and 1017

(i) The LCM of 1017 and 1009 is associative

LCM of 1009 and 1017 = LCM of 1017 and 1009

Related Least Common Multiples of 1009

Related Least Common Multiples of 1017

Frequently Asked Questions on LCM of 1009 and 1017

1. What is the LCM of 1009 and 1017?

Answer: LCM of 1009 and 1017 is 1026153.

2. 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.

3. What are the Factors of 1017?

Answer: Factors of 1017 are 1, 3, 9, 113, 339, 1017. There are 6 integers that are factors of 1017. The greatest factor of 1017 is 1017.

4. How to Find the LCM of 1009 and 1017?

Answer:

Least Common Multiple of 1009 and 1017 = 1026153

Step 1: Find the prime factorization of 1009

1009 = 1009

Step 2: Find the prime factorization of 1017

1017 = 3 x 3 x 113

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

LCM = 1026153 = 3 x 3 x 113 x 1009

Step 4: Therefore, the least common multiple of 1009 and 1017 is 1026153.