Least Common Multiple of 7012 and 7017

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 7017 the smallest integer that is 49203204 that is divisible by both numbers.

Least Common Multiple (LCM) of 7012 and 7017 is 49203204.

LCM(7012,7017) = 49203204

LCM of 7012 and 7017

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

LCM of:
and

Least Common Multiple of 7012 and 7017

LCM of 7012 and 7017 is 49203204

Least common multiple can be found by multiplying the highest exponent prime factors of 7012 and 7017. First we will calculate the prime factors of 7012 and 7017.

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 7017


3 7017
2339 2339
1

Prime factors of 7017 are 3,2339. Prime factorization of 7017 in exponential form is:

7017 = 31×23391

Now multiplying the highest exponent prime factors to calculate the LCM of 7012 and 7017.

LCM(7012,7017) = 22×31×17531×23391
LCM(7012,7017) = 49203204

Factors of 7012

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

1, 2, 4, 1753, 3506, 7012

Factors of 7017

List of positive integer factors of 7017 that divides 7017 without a remainder.

1, 3, 2339, 7017

Least Common Multiple of 7012 and 7017 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 7017, than apply into the LCM equation.

GCF(7012,7017) = 1
LCM(7012,7017) = ( 7012 × 7017) / 1
LCM(7012,7017) = 49203204 / 1
LCM(7012,7017) = 49203204

Properties of LCM 7012 and 7017

(i) The LCM of 7017 and 7012 is associative

LCM of 7012 and 7017 = LCM of 7017 and 7012

Related Least Common Multiples of 7012

Related Least Common Multiples of 7017

Frequently Asked Questions on LCM of 7012 and 7017

1. What is the LCM of 7012 and 7017?

Answer: LCM of 7012 and 7017 is 49203204.

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 7017?

Answer: Factors of 7017 are 1, 3, 2339, 7017. There are 4 integers that are factors of 7017. The greatest factor of 7017 is 7017.

4. How to Find the LCM of 7012 and 7017?

Answer:

Least Common Multiple of 7012 and 7017 = 49203204

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

Step 2: Find the prime factorization of 7017

7017 = 3 x 2339

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

LCM = 49203204 = 2 x 2 x 3 x 1753 x 2339

Step 4: Therefore, the least common multiple of 7012 and 7017 is 49203204.