Least Common Multiple of 2995 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 2995 and 3000 the smallest integer that is 1797000 that is divisible by both numbers.

Least Common Multiple (LCM) of 2995 and 3000 is 1797000.

LCM(2995,3000) = 1797000

LCM of 2995 and 3000

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

LCM of:
and

Least Common Multiple of 2995 and 3000

LCM of 2995 and 3000 is 1797000

Least common multiple can be found by multiplying the highest exponent prime factors of 2995 and 3000. First we will calculate the prime factors of 2995 and 3000.

Prime Factorization of 2995


5 2995
599 599
1

Prime factors of 2995 are 5,599. Prime factorization of 2995 in exponential form is:

2995 = 51×5991

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 2995 and 3000.

LCM(2995,3000) = 23×31×53×5991
LCM(2995,3000) = 1797000

Factors of 2995

List of positive integer factors of 2995 that divides 2995 without a remainder.

1, 5, 599, 2995

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 2995 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 2995 and 3000, than apply into the LCM equation.

GCF(2995,3000) = 5
LCM(2995,3000) = ( 2995 × 3000) / 5
LCM(2995,3000) = 8985000 / 5
LCM(2995,3000) = 1797000

Properties of LCM 2995 and 3000

(i) The LCM of 3000 and 2995 is associative

LCM of 2995 and 3000 = LCM of 3000 and 2995

Related Least Common Multiples of 2995

Related Least Common Multiples of 3000

Frequently Asked Questions on LCM of 2995 and 3000

1. What is the LCM of 2995 and 3000?

Answer: LCM of 2995 and 3000 is 1797000.

2. What are the Factors of 2995?

Answer: Factors of 2995 are 1, 5, 599, 2995. There are 4 integers that are factors of 2995. The greatest factor of 2995 is 2995.

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 2995 and 3000?

Answer:

Least Common Multiple of 2995 and 3000 = 1797000

Step 1: Find the prime factorization of 2995

2995 = 5 x 599

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 = 1797000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 599

Step 4: Therefore, the least common multiple of 2995 and 3000 is 1797000.