Least Common Multiple of 1009 and 1014

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 1014 the smallest integer that is 1023126 that is divisible by both numbers.

Least Common Multiple (LCM) of 1009 and 1014 is 1023126.

LCM(1009,1014) = 1023126

LCM of 1009 and 1014

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

LCM of:
and

Least Common Multiple of 1009 and 1014

LCM of 1009 and 1014 is 1023126

Least common multiple can be found by multiplying the highest exponent prime factors of 1009 and 1014. First we will calculate the prime factors of 1009 and 1014.

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 1014


2 1014
3 507
13 169
13 13
1

Prime factors of 1014 are 2, 3,13. Prime factorization of 1014 in exponential form is:

1014 = 21×31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1009 and 1014.

LCM(1009,1014) = 21×31×132×10091
LCM(1009,1014) = 1023126

Factors of 1009

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

1, 1009

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

Least Common Multiple of 1009 and 1014 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 1014, than apply into the LCM equation.

GCF(1009,1014) = 1
LCM(1009,1014) = ( 1009 × 1014) / 1
LCM(1009,1014) = 1023126 / 1
LCM(1009,1014) = 1023126

Properties of LCM 1009 and 1014

(i) The LCM of 1014 and 1009 is associative

LCM of 1009 and 1014 = LCM of 1014 and 1009

Related Least Common Multiples of 1009

Related Least Common Multiples of 1014

Frequently Asked Questions on LCM of 1009 and 1014

1. What is the LCM of 1009 and 1014?

Answer: LCM of 1009 and 1014 is 1023126.

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 1014?

Answer: Factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014. There are 12 integers that are factors of 1014. The greatest factor of 1014 is 1014.

4. How to Find the LCM of 1009 and 1014?

Answer:

Least Common Multiple of 1009 and 1014 = 1023126

Step 1: Find the prime factorization of 1009

1009 = 1009

Step 2: Find the prime factorization of 1014

1014 = 2 x 3 x 13 x 13

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

LCM = 1023126 = 2 x 3 x 13 x 13 x 1009

Step 4: Therefore, the least common multiple of 1009 and 1014 is 1023126.