Least Common Multiple of 7003 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 7003 and 7008 the smallest integer that is 49077024 that is divisible by both numbers.

Least Common Multiple (LCM) of 7003 and 7008 is 49077024.

LCM(7003,7008) = 49077024

LCM of 7003 and 7008

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

LCM of:
and

Least Common Multiple of 7003 and 7008

LCM of 7003 and 7008 is 49077024

Least common multiple can be found by multiplying the highest exponent prime factors of 7003 and 7008. First we will calculate the prime factors of 7003 and 7008.

Prime Factorization of 7003


47 7003
149 149
1

Prime factors of 7003 are 47,149. Prime factorization of 7003 in exponential form is:

7003 = 471×1491

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 7003 and 7008.

LCM(7003,7008) = 25×31×471×731×1491
LCM(7003,7008) = 49077024

Factors of 7003

List of positive integer factors of 7003 that divides 7003 without a remainder.

1, 47, 149, 7003

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 7003 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 7003 and 7008, than apply into the LCM equation.

GCF(7003,7008) = 1
LCM(7003,7008) = ( 7003 × 7008) / 1
LCM(7003,7008) = 49077024 / 1
LCM(7003,7008) = 49077024

Properties of LCM 7003 and 7008

(i) The LCM of 7008 and 7003 is associative

LCM of 7003 and 7008 = LCM of 7008 and 7003

Related Least Common Multiples of 7003

Related Least Common Multiples of 7008

Frequently Asked Questions on LCM of 7003 and 7008

1. What is the LCM of 7003 and 7008?

Answer: LCM of 7003 and 7008 is 49077024.

2. What are the Factors of 7003?

Answer: Factors of 7003 are 1, 47, 149, 7003. There are 4 integers that are factors of 7003. The greatest factor of 7003 is 7003.

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 7003 and 7008?

Answer:

Least Common Multiple of 7003 and 7008 = 49077024

Step 1: Find the prime factorization of 7003

7003 = 47 x 149

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 = 49077024 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 73 x 149

Step 4: Therefore, the least common multiple of 7003 and 7008 is 49077024.