Least Common Multiple of 7008 and 7013

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 7013 the smallest integer that is 49147104 that is divisible by both numbers.

Least Common Multiple (LCM) of 7008 and 7013 is 49147104.

LCM(7008,7013) = 49147104

LCM of 7008 and 7013

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

LCM of:
and

Least Common Multiple of 7008 and 7013

LCM of 7008 and 7013 is 49147104

Least common multiple can be found by multiplying the highest exponent prime factors of 7008 and 7013. First we will calculate the prime factors of 7008 and 7013.

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 7013


7013 7013
1

Prime factors of 7013 are 7013. Prime factorization of 7013 in exponential form is:

7013 = 70131

Now multiplying the highest exponent prime factors to calculate the LCM of 7008 and 7013.

LCM(7008,7013) = 25×31×731×70131
LCM(7008,7013) = 49147104

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 7013

List of positive integer factors of 7013 that divides 7013 without a remainder.

1, 7013

Least Common Multiple of 7008 and 7013 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 7013, than apply into the LCM equation.

GCF(7008,7013) = 1
LCM(7008,7013) = ( 7008 × 7013) / 1
LCM(7008,7013) = 49147104 / 1
LCM(7008,7013) = 49147104

Properties of LCM 7008 and 7013

(i) The LCM of 7013 and 7008 is associative

LCM of 7008 and 7013 = LCM of 7013 and 7008

Related Least Common Multiples of 7008

Related Least Common Multiples of 7013

Frequently Asked Questions on LCM of 7008 and 7013

1. What is the LCM of 7008 and 7013?

Answer: LCM of 7008 and 7013 is 49147104.

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 7013?

Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.

4. How to Find the LCM of 7008 and 7013?

Answer:

Least Common Multiple of 7008 and 7013 = 49147104

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 7013

7013 = 7013

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

LCM = 49147104 = 2 x 2 x 2 x 2 x 2 x 3 x 73 x 7013

Step 4: Therefore, the least common multiple of 7008 and 7013 is 49147104.