Least Common Multiple of 1009 and 1015

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 1015 the smallest integer that is 1024135 that is divisible by both numbers.

Least Common Multiple (LCM) of 1009 and 1015 is 1024135.

LCM(1009,1015) = 1024135

LCM of 1009 and 1015

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

LCM of:
and

Least Common Multiple of 1009 and 1015

LCM of 1009 and 1015 is 1024135

Least common multiple can be found by multiplying the highest exponent prime factors of 1009 and 1015. First we will calculate the prime factors of 1009 and 1015.

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 1015


5 1015
7 203
29 29
1

Prime factors of 1015 are 5, 7,29. Prime factorization of 1015 in exponential form is:

1015 = 51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1009 and 1015.

LCM(1009,1015) = 51×71×291×10091
LCM(1009,1015) = 1024135

Factors of 1009

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

1, 1009

Factors of 1015

List of positive integer factors of 1015 that divides 1015 without a remainder.

1, 5, 7, 29, 35, 145, 203, 1015

Least Common Multiple of 1009 and 1015 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 1015, than apply into the LCM equation.

GCF(1009,1015) = 1
LCM(1009,1015) = ( 1009 × 1015) / 1
LCM(1009,1015) = 1024135 / 1
LCM(1009,1015) = 1024135

Properties of LCM 1009 and 1015

(i) The LCM of 1015 and 1009 is associative

LCM of 1009 and 1015 = LCM of 1015 and 1009

Related Least Common Multiples of 1009

Related Least Common Multiples of 1015

Frequently Asked Questions on LCM of 1009 and 1015

1. What is the LCM of 1009 and 1015?

Answer: LCM of 1009 and 1015 is 1024135.

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 1015?

Answer: Factors of 1015 are 1, 5, 7, 29, 35, 145, 203, 1015. There are 8 integers that are factors of 1015. The greatest factor of 1015 is 1015.

4. How to Find the LCM of 1009 and 1015?

Answer:

Least Common Multiple of 1009 and 1015 = 1024135

Step 1: Find the prime factorization of 1009

1009 = 1009

Step 2: Find the prime factorization of 1015

1015 = 5 x 7 x 29

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

LCM = 1024135 = 5 x 7 x 29 x 1009

Step 4: Therefore, the least common multiple of 1009 and 1015 is 1024135.