Least Common Multiple of 2993 and 3000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2993 and 3000 the smallest integer that is 8979000 that is divisible by both numbers.

Least Common Multiple (LCM) of 2993 and 3000 is 8979000.

LCM(2993,3000) = 8979000

LCM of 2993 and 3000

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

LCM of:
and

Least Common Multiple of 2993 and 3000

LCM of 2993 and 3000 is 8979000

Least common multiple can be found by multiplying the highest exponent prime factors of 2993 and 3000. First we will calculate the prime factors of 2993 and 3000.

Prime Factorization of 2993


41 2993
73 73
1

Prime factors of 2993 are 41,73. Prime factorization of 2993 in exponential form is:

2993 = 411×731

Prime Factorization of 3000


2 3000
2 1500
2 750
3 375
5 125
5 25
5 5
1

Prime factors of 3000 are 2, 3,5. Prime factorization of 3000 in exponential form is:

3000 = 23×31×53

Now multiplying the highest exponent prime factors to calculate the LCM of 2993 and 3000.

LCM(2993,3000) = 23×31×53×411×731
LCM(2993,3000) = 8979000

Factors of 2993

List of positive integer factors of 2993 that divides 2993 without a remainder.

1, 41, 73, 2993

Factors of 3000

List of positive integer factors of 3000 that divides 3000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000

Least Common Multiple of 2993 and 3000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2993 and 3000, than apply into the LCM equation.

GCF(2993,3000) = 1
LCM(2993,3000) = ( 2993 × 3000) / 1
LCM(2993,3000) = 8979000 / 1
LCM(2993,3000) = 8979000

Properties of LCM 2993 and 3000

(i) The LCM of 3000 and 2993 is associative

LCM of 2993 and 3000 = LCM of 3000 and 2993

Related Least Common Multiples of 2993

Related Least Common Multiples of 3000

Frequently Asked Questions on LCM of 2993 and 3000

1. What is the LCM of 2993 and 3000?

Answer: LCM of 2993 and 3000 is 8979000.

2. What are the Factors of 2993?

Answer: Factors of 2993 are 1, 41, 73, 2993. There are 4 integers that are factors of 2993. The greatest factor of 2993 is 2993.

3. What are the Factors of 3000?

Answer: Factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000. There are 32 integers that are factors of 3000. The greatest factor of 3000 is 3000.

4. How to Find the LCM of 2993 and 3000?

Answer:

Least Common Multiple of 2993 and 3000 = 8979000

Step 1: Find the prime factorization of 2993

2993 = 41 x 73

Step 2: Find the prime factorization of 3000

3000 = 2 x 2 x 2 x 3 x 5 x 5 x 5

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

LCM = 8979000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 41 x 73

Step 4: Therefore, the least common multiple of 2993 and 3000 is 8979000.