Least Common Multiple of 7012 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 7012 and 7019 the smallest integer that is 49217228 that is divisible by both numbers.

Least Common Multiple (LCM) of 7012 and 7019 is 49217228.

LCM(7012,7019) = 49217228

LCM of 7012 and 7019

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

LCM of:
and

Least Common Multiple of 7012 and 7019

LCM of 7012 and 7019 is 49217228

Least common multiple can be found by multiplying the highest exponent prime factors of 7012 and 7019. First we will calculate the prime factors of 7012 and 7019.

Prime Factorization of 7012


2 7012
2 3506
1753 1753
1

Prime factors of 7012 are 2,1753. Prime factorization of 7012 in exponential form is:

7012 = 22×17531

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 7012 and 7019.

LCM(7012,7019) = 22×17531×70191
LCM(7012,7019) = 49217228

Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1, 2, 4, 1753, 3506, 7012

Factors of 7019

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

1, 7019

Least Common Multiple of 7012 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 7012 and 7019, than apply into the LCM equation.

GCF(7012,7019) = 1
LCM(7012,7019) = ( 7012 × 7019) / 1
LCM(7012,7019) = 49217228 / 1
LCM(7012,7019) = 49217228

Properties of LCM 7012 and 7019

(i) The LCM of 7019 and 7012 is associative

LCM of 7012 and 7019 = LCM of 7019 and 7012

Related Least Common Multiples of 7012

Related Least Common Multiples of 7019

Frequently Asked Questions on LCM of 7012 and 7019

1. What is the LCM of 7012 and 7019?

Answer: LCM of 7012 and 7019 is 49217228.

2. What are the Factors of 7012?

Answer: Factors of 7012 are 1, 2, 4, 1753, 3506, 7012. There are 6 integers that are factors of 7012. The greatest factor of 7012 is 7012.

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 7012 and 7019?

Answer:

Least Common Multiple of 7012 and 7019 = 49217228

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

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 = 49217228 = 2 x 2 x 1753 x 7019

Step 4: Therefore, the least common multiple of 7012 and 7019 is 49217228.