Least Common Multiple of 7006 and 7012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7006 and 7012 the smallest integer that is 24563036 that is divisible by both numbers.

Least Common Multiple (LCM) of 7006 and 7012 is 24563036.

LCM(7006,7012) = 24563036

LCM of 7006 and 7012

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

LCM of:
and

Least Common Multiple of 7006 and 7012

LCM of 7006 and 7012 is 24563036

Least common multiple can be found by multiplying the highest exponent prime factors of 7006 and 7012. First we will calculate the prime factors of 7006 and 7012.

Prime Factorization of 7006


2 7006
31 3503
113 113
1

Prime factors of 7006 are 2, 31,113. Prime factorization of 7006 in exponential form is:

7006 = 21×311×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7006 and 7012.

LCM(7006,7012) = 22×311×1131×17531
LCM(7006,7012) = 24563036

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1, 2, 31, 62, 113, 226, 3503, 7006

Factors of 7012

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

1, 2, 4, 1753, 3506, 7012

Least Common Multiple of 7006 and 7012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7006 and 7012, than apply into the LCM equation.

GCF(7006,7012) = 2
LCM(7006,7012) = ( 7006 × 7012) / 2
LCM(7006,7012) = 49126072 / 2
LCM(7006,7012) = 24563036

Properties of LCM 7006 and 7012

(i) The LCM of 7012 and 7006 is associative

LCM of 7006 and 7012 = LCM of 7012 and 7006

Related Least Common Multiples of 7006

Related Least Common Multiples of 7012

Frequently Asked Questions on LCM of 7006 and 7012

1. What is the LCM of 7006 and 7012?

Answer: LCM of 7006 and 7012 is 24563036.

2. What are the Factors of 7006?

Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.

3. 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.

4. How to Find the LCM of 7006 and 7012?

Answer:

Least Common Multiple of 7006 and 7012 = 24563036

Step 1: Find the prime factorization of 7006

7006 = 2 x 31 x 113

Step 2: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

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

LCM = 24563036 = 2 x 2 x 31 x 113 x 1753

Step 4: Therefore, the least common multiple of 7006 and 7012 is 24563036.