Least Common Multiple of 2997 and 3003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2997 and 3003 the smallest integer that is 2999997 that is divisible by both numbers.

Least Common Multiple (LCM) of 2997 and 3003 is 2999997.

LCM(2997,3003) = 2999997

LCM of 2997 and 3003

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

LCM of:
and

Least Common Multiple of 2997 and 3003

LCM of 2997 and 3003 is 2999997

Least common multiple can be found by multiplying the highest exponent prime factors of 2997 and 3003. First we will calculate the prime factors of 2997 and 3003.

Prime Factorization of 2997


3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 2997 are 3,37. Prime factorization of 2997 in exponential form is:

2997 = 34×371

Prime Factorization of 3003


3 3003
7 1001
11 143
13 13
1

Prime factors of 3003 are 3, 7, 11,13. Prime factorization of 3003 in exponential form is:

3003 = 31×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2997 and 3003.

LCM(2997,3003) = 34×71×111×131×371
LCM(2997,3003) = 2999997

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1, 3, 9, 27, 37, 81, 111, 333, 999, 2997

Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003

Least Common Multiple of 2997 and 3003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2997 and 3003, than apply into the LCM equation.

GCF(2997,3003) = 3
LCM(2997,3003) = ( 2997 × 3003) / 3
LCM(2997,3003) = 8999991 / 3
LCM(2997,3003) = 2999997

Properties of LCM 2997 and 3003

(i) The LCM of 3003 and 2997 is associative

LCM of 2997 and 3003 = LCM of 3003 and 2997

Related Least Common Multiples of 2997

Related Least Common Multiples of 3003

Frequently Asked Questions on LCM of 2997 and 3003

1. What is the LCM of 2997 and 3003?

Answer: LCM of 2997 and 3003 is 2999997.

2. What are the Factors of 2997?

Answer: Factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. There are 10 integers that are factors of 2997. The greatest factor of 2997 is 2997.

3. What are the Factors of 3003?

Answer: Factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003. There are 16 integers that are factors of 3003. The greatest factor of 3003 is 3003.

4. How to Find the LCM of 2997 and 3003?

Answer:

Least Common Multiple of 2997 and 3003 = 2999997

Step 1: Find the prime factorization of 2997

2997 = 3 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 3003

3003 = 3 x 7 x 11 x 13

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

LCM = 2999997 = 3 x 3 x 3 x 3 x 7 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 2997 and 3003 is 2999997.