Least Common Multiple of 1014 and 1019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1014 and 1019 the smallest integer that is 1033266 that is divisible by both numbers.

Least Common Multiple (LCM) of 1014 and 1019 is 1033266.

LCM(1014,1019) = 1033266

LCM of 1014 and 1019

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

LCM of:
and

Least Common Multiple of 1014 and 1019

LCM of 1014 and 1019 is 1033266

Least common multiple can be found by multiplying the highest exponent prime factors of 1014 and 1019. First we will calculate the prime factors of 1014 and 1019.

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

Prime Factorization of 1019


1019 1019
1

Prime factors of 1019 are 1019. Prime factorization of 1019 in exponential form is:

1019 = 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 1014 and 1019.

LCM(1014,1019) = 21×31×132×10191
LCM(1014,1019) = 1033266

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

Factors of 1019

List of positive integer factors of 1019 that divides 1019 without a remainder.

1, 1019

Least Common Multiple of 1014 and 1019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1014 and 1019, than apply into the LCM equation.

GCF(1014,1019) = 1
LCM(1014,1019) = ( 1014 × 1019) / 1
LCM(1014,1019) = 1033266 / 1
LCM(1014,1019) = 1033266

Properties of LCM 1014 and 1019

(i) The LCM of 1019 and 1014 is associative

LCM of 1014 and 1019 = LCM of 1019 and 1014

Related Least Common Multiples of 1014

Related Least Common Multiples of 1019

Frequently Asked Questions on LCM of 1014 and 1019

1. What is the LCM of 1014 and 1019?

Answer: LCM of 1014 and 1019 is 1033266.

2. 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.

3. What are the Factors of 1019?

Answer: Factors of 1019 are 1, 1019. There are 2 integers that are factors of 1019. The greatest factor of 1019 is 1019.

4. How to Find the LCM of 1014 and 1019?

Answer:

Least Common Multiple of 1014 and 1019 = 1033266

Step 1: Find the prime factorization of 1014

1014 = 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 1019

1019 = 1019

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

LCM = 1033266 = 2 x 3 x 13 x 13 x 1019

Step 4: Therefore, the least common multiple of 1014 and 1019 is 1033266.