Least Common Multiple of 7012 and 7016

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 7016 the smallest integer that is 12299048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7012 and 7016 is 12299048.

LCM(7012,7016) = 12299048

LCM of 7012 and 7016

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

LCM of:
and

Least Common Multiple of 7012 and 7016

LCM of 7012 and 7016 is 12299048

Least common multiple can be found by multiplying the highest exponent prime factors of 7012 and 7016. First we will calculate the prime factors of 7012 and 7016.

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 7016


2 7016
2 3508
2 1754
877 877
1

Prime factors of 7016 are 2,877. Prime factorization of 7016 in exponential form is:

7016 = 23×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 7012 and 7016.

LCM(7012,7016) = 23×8771×17531
LCM(7012,7016) = 12299048

Factors of 7012

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

1, 2, 4, 1753, 3506, 7012

Factors of 7016

List of positive integer factors of 7016 that divides 7016 without a remainder.

1, 2, 4, 8, 877, 1754, 3508, 7016

Least Common Multiple of 7012 and 7016 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 7016, than apply into the LCM equation.

GCF(7012,7016) = 4
LCM(7012,7016) = ( 7012 × 7016) / 4
LCM(7012,7016) = 49196192 / 4
LCM(7012,7016) = 12299048

Properties of LCM 7012 and 7016

(i) The LCM of 7016 and 7012 is associative

LCM of 7012 and 7016 = LCM of 7016 and 7012

Related Least Common Multiples of 7012

Related Least Common Multiples of 7016

Frequently Asked Questions on LCM of 7012 and 7016

1. What is the LCM of 7012 and 7016?

Answer: LCM of 7012 and 7016 is 12299048.

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 7016?

Answer: Factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016. There are 8 integers that are factors of 7016. The greatest factor of 7016 is 7016.

4. How to Find the LCM of 7012 and 7016?

Answer:

Least Common Multiple of 7012 and 7016 = 12299048

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

Step 2: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

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

LCM = 12299048 = 2 x 2 x 2 x 877 x 1753

Step 4: Therefore, the least common multiple of 7012 and 7016 is 12299048.