Least Common Multiple of 7014 and 7019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7014 and 7019 the smallest integer that is 49231266 that is divisible by both numbers.

Least Common Multiple (LCM) of 7014 and 7019 is 49231266.

LCM(7014,7019) = 49231266

LCM of 7014 and 7019

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

LCM of:
and

Least Common Multiple of 7014 and 7019

LCM of 7014 and 7019 is 49231266

Least common multiple can be found by multiplying the highest exponent prime factors of 7014 and 7019. First we will calculate the prime factors of 7014 and 7019.

Prime Factorization of 7014


2 7014
3 3507
7 1169
167 167
1

Prime factors of 7014 are 2, 3, 7,167. Prime factorization of 7014 in exponential form is:

7014 = 21×31×71×1671

Prime Factorization of 7019


7019 7019
1

Prime factors of 7019 are 7019. Prime factorization of 7019 in exponential form is:

7019 = 70191

Now multiplying the highest exponent prime factors to calculate the LCM of 7014 and 7019.

LCM(7014,7019) = 21×31×71×1671×70191
LCM(7014,7019) = 49231266

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014

Factors of 7019

List of positive integer factors of 7019 that divides 7019 without a remainder.

1, 7019

Least Common Multiple of 7014 and 7019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7014 and 7019, than apply into the LCM equation.

GCF(7014,7019) = 1
LCM(7014,7019) = ( 7014 × 7019) / 1
LCM(7014,7019) = 49231266 / 1
LCM(7014,7019) = 49231266

Properties of LCM 7014 and 7019

(i) The LCM of 7019 and 7014 is associative

LCM of 7014 and 7019 = LCM of 7019 and 7014

Related Least Common Multiples of 7014

Related Least Common Multiples of 7019

Frequently Asked Questions on LCM of 7014 and 7019

1. What is the LCM of 7014 and 7019?

Answer: LCM of 7014 and 7019 is 49231266.

2. What are the Factors of 7014?

Answer: Factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014. There are 16 integers that are factors of 7014. The greatest factor of 7014 is 7014.

3. What are the Factors of 7019?

Answer: Factors of 7019 are 1, 7019. There are 2 integers that are factors of 7019. The greatest factor of 7019 is 7019.

4. How to Find the LCM of 7014 and 7019?

Answer:

Least Common Multiple of 7014 and 7019 = 49231266

Step 1: Find the prime factorization of 7014

7014 = 2 x 3 x 7 x 167

Step 2: Find the prime factorization of 7019

7019 = 7019

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

LCM = 49231266 = 2 x 3 x 7 x 167 x 7019

Step 4: Therefore, the least common multiple of 7014 and 7019 is 49231266.