Least Common Multiple of 2989 and 2997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2989 and 2997 the smallest integer that is 8958033 that is divisible by both numbers.

Least Common Multiple (LCM) of 2989 and 2997 is 8958033.

LCM(2989,2997) = 8958033

LCM of 2989 and 2997

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

LCM of:
and

Least Common Multiple of 2989 and 2997

LCM of 2989 and 2997 is 8958033

Least common multiple can be found by multiplying the highest exponent prime factors of 2989 and 2997. First we will calculate the prime factors of 2989 and 2997.

Prime Factorization of 2989


7 2989
7 427
61 61
1

Prime factors of 2989 are 7,61. Prime factorization of 2989 in exponential form is:

2989 = 72×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2989 and 2997.

LCM(2989,2997) = 34×72×371×611
LCM(2989,2997) = 8958033

Factors of 2989

List of positive integer factors of 2989 that divides 2989 without a remainder.

1, 7, 49, 61, 427, 2989

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

Least Common Multiple of 2989 and 2997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2989 and 2997, than apply into the LCM equation.

GCF(2989,2997) = 1
LCM(2989,2997) = ( 2989 × 2997) / 1
LCM(2989,2997) = 8958033 / 1
LCM(2989,2997) = 8958033

Properties of LCM 2989 and 2997

(i) The LCM of 2997 and 2989 is associative

LCM of 2989 and 2997 = LCM of 2997 and 2989

Related Least Common Multiples of 2989

Related Least Common Multiples of 2997

Frequently Asked Questions on LCM of 2989 and 2997

1. What is the LCM of 2989 and 2997?

Answer: LCM of 2989 and 2997 is 8958033.

2. What are the Factors of 2989?

Answer: Factors of 2989 are 1, 7, 49, 61, 427, 2989. There are 6 integers that are factors of 2989. The greatest factor of 2989 is 2989.

3. 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.

4. How to Find the LCM of 2989 and 2997?

Answer:

Least Common Multiple of 2989 and 2997 = 8958033

Step 1: Find the prime factorization of 2989

2989 = 7 x 7 x 61

Step 2: Find the prime factorization of 2997

2997 = 3 x 3 x 3 x 3 x 37

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

LCM = 8958033 = 3 x 3 x 3 x 3 x 7 x 7 x 37 x 61

Step 4: Therefore, the least common multiple of 2989 and 2997 is 8958033.