Least Common Multiple of 2998 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 2998 and 3000 the smallest integer that is 4497000 that is divisible by both numbers.

Least Common Multiple (LCM) of 2998 and 3000 is 4497000.

LCM(2998,3000) = 4497000

LCM of 2998 and 3000

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

LCM of:
and

Least Common Multiple of 2998 and 3000

LCM of 2998 and 3000 is 4497000

Least common multiple can be found by multiplying the highest exponent prime factors of 2998 and 3000. First we will calculate the prime factors of 2998 and 3000.

Prime Factorization of 2998


2 2998
1499 1499
1

Prime factors of 2998 are 2,1499. Prime factorization of 2998 in exponential form is:

2998 = 21×14991

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 2998 and 3000.

LCM(2998,3000) = 23×31×53×14991
LCM(2998,3000) = 4497000

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1, 2, 1499, 2998

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 2998 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 2998 and 3000, than apply into the LCM equation.

GCF(2998,3000) = 2
LCM(2998,3000) = ( 2998 × 3000) / 2
LCM(2998,3000) = 8994000 / 2
LCM(2998,3000) = 4497000

Properties of LCM 2998 and 3000

(i) The LCM of 3000 and 2998 is associative

LCM of 2998 and 3000 = LCM of 3000 and 2998

Related Least Common Multiples of 2998

Related Least Common Multiples of 3000

Frequently Asked Questions on LCM of 2998 and 3000

1. What is the LCM of 2998 and 3000?

Answer: LCM of 2998 and 3000 is 4497000.

2. What are the Factors of 2998?

Answer: Factors of 2998 are 1, 2, 1499, 2998. There are 4 integers that are factors of 2998. The greatest factor of 2998 is 2998.

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 2998 and 3000?

Answer:

Least Common Multiple of 2998 and 3000 = 4497000

Step 1: Find the prime factorization of 2998

2998 = 2 x 1499

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 = 4497000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 1499

Step 4: Therefore, the least common multiple of 2998 and 3000 is 4497000.