Least Common Multiple of 7008 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 7008 and 7016 the smallest integer that is 6146016 that is divisible by both numbers.

Least Common Multiple (LCM) of 7008 and 7016 is 6146016.

LCM(7008,7016) = 6146016

LCM of 7008 and 7016

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

LCM of:
and

Least Common Multiple of 7008 and 7016

LCM of 7008 and 7016 is 6146016

Least common multiple can be found by multiplying the highest exponent prime factors of 7008 and 7016. First we will calculate the prime factors of 7008 and 7016.

Prime Factorization of 7008


2 7008
2 3504
2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 7008 are 2, 3,73. Prime factorization of 7008 in exponential form is:

7008 = 25×31×731

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 7008 and 7016.

LCM(7008,7016) = 25×31×731×8771
LCM(7008,7016) = 6146016

Factors of 7008

List of positive integer factors of 7008 that divides 7008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008

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 7008 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 7008 and 7016, than apply into the LCM equation.

GCF(7008,7016) = 8
LCM(7008,7016) = ( 7008 × 7016) / 8
LCM(7008,7016) = 49168128 / 8
LCM(7008,7016) = 6146016

Properties of LCM 7008 and 7016

(i) The LCM of 7016 and 7008 is associative

LCM of 7008 and 7016 = LCM of 7016 and 7008

Related Least Common Multiples of 7008

Related Least Common Multiples of 7016

Frequently Asked Questions on LCM of 7008 and 7016

1. What is the LCM of 7008 and 7016?

Answer: LCM of 7008 and 7016 is 6146016.

2. What are the Factors of 7008?

Answer: Factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008. There are 24 integers that are factors of 7008. The greatest factor of 7008 is 7008.

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 7008 and 7016?

Answer:

Least Common Multiple of 7008 and 7016 = 6146016

Step 1: Find the prime factorization of 7008

7008 = 2 x 2 x 2 x 2 x 2 x 3 x 73

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 = 6146016 = 2 x 2 x 2 x 2 x 2 x 3 x 73 x 877

Step 4: Therefore, the least common multiple of 7008 and 7016 is 6146016.