Least Common Multiple of 7008 and 7015

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 7015 the smallest integer that is 49161120 that is divisible by both numbers.

Least Common Multiple (LCM) of 7008 and 7015 is 49161120.

LCM(7008,7015) = 49161120

LCM of 7008 and 7015

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

LCM of:
and

Least Common Multiple of 7008 and 7015

LCM of 7008 and 7015 is 49161120

Least common multiple can be found by multiplying the highest exponent prime factors of 7008 and 7015. First we will calculate the prime factors of 7008 and 7015.

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 7015


5 7015
23 1403
61 61
1

Prime factors of 7015 are 5, 23,61. Prime factorization of 7015 in exponential form is:

7015 = 51×231×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7008 and 7015.

LCM(7008,7015) = 25×31×51×231×611×731
LCM(7008,7015) = 49161120

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 7015

List of positive integer factors of 7015 that divides 7015 without a remainder.

1, 5, 23, 61, 115, 305, 1403, 7015

Least Common Multiple of 7008 and 7015 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 7015, than apply into the LCM equation.

GCF(7008,7015) = 1
LCM(7008,7015) = ( 7008 × 7015) / 1
LCM(7008,7015) = 49161120 / 1
LCM(7008,7015) = 49161120

Properties of LCM 7008 and 7015

(i) The LCM of 7015 and 7008 is associative

LCM of 7008 and 7015 = LCM of 7015 and 7008

Related Least Common Multiples of 7008

Related Least Common Multiples of 7015

Frequently Asked Questions on LCM of 7008 and 7015

1. What is the LCM of 7008 and 7015?

Answer: LCM of 7008 and 7015 is 49161120.

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 7015?

Answer: Factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015. There are 8 integers that are factors of 7015. The greatest factor of 7015 is 7015.

4. How to Find the LCM of 7008 and 7015?

Answer:

Least Common Multiple of 7008 and 7015 = 49161120

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 7015

7015 = 5 x 23 x 61

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

LCM = 49161120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 61 x 73

Step 4: Therefore, the least common multiple of 7008 and 7015 is 49161120.