Least Common Multiple of 7001 and 7008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7001 and 7008 the smallest integer that is 49063008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7001 and 7008 is 49063008.

LCM(7001,7008) = 49063008

LCM of 7001 and 7008

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

LCM of:
and

Least Common Multiple of 7001 and 7008

LCM of 7001 and 7008 is 49063008

Least common multiple can be found by multiplying the highest exponent prime factors of 7001 and 7008. First we will calculate the prime factors of 7001 and 7008.

Prime Factorization of 7001


7001 7001
1

Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:

7001 = 70011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7001 and 7008.

LCM(7001,7008) = 25×31×731×70011
LCM(7001,7008) = 49063008

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1, 7001

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

Least Common Multiple of 7001 and 7008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7001 and 7008, than apply into the LCM equation.

GCF(7001,7008) = 1
LCM(7001,7008) = ( 7001 × 7008) / 1
LCM(7001,7008) = 49063008 / 1
LCM(7001,7008) = 49063008

Properties of LCM 7001 and 7008

(i) The LCM of 7008 and 7001 is associative

LCM of 7001 and 7008 = LCM of 7008 and 7001

Related Least Common Multiples of 7001

Related Least Common Multiples of 7008

Frequently Asked Questions on LCM of 7001 and 7008

1. What is the LCM of 7001 and 7008?

Answer: LCM of 7001 and 7008 is 49063008.

2. What are the Factors of 7001?

Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.

3. 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.

4. How to Find the LCM of 7001 and 7008?

Answer:

Least Common Multiple of 7001 and 7008 = 49063008

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7008

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

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

LCM = 49063008 = 2 x 2 x 2 x 2 x 2 x 3 x 73 x 7001

Step 4: Therefore, the least common multiple of 7001 and 7008 is 49063008.