Least Common Multiple of 2889 and 2897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2889 and 2897 the smallest integer that is 8369433 that is divisible by both numbers.

Least Common Multiple (LCM) of 2889 and 2897 is 8369433.

LCM(2889,2897) = 8369433

LCM of 2889 and 2897

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

LCM of:
and

Least Common Multiple of 2889 and 2897

LCM of 2889 and 2897 is 8369433

Least common multiple can be found by multiplying the highest exponent prime factors of 2889 and 2897. First we will calculate the prime factors of 2889 and 2897.

Prime Factorization of 2889


3 2889
3 963
3 321
107 107
1

Prime factors of 2889 are 3,107. Prime factorization of 2889 in exponential form is:

2889 = 33×1071

Prime Factorization of 2897


2897 2897
1

Prime factors of 2897 are 2897. Prime factorization of 2897 in exponential form is:

2897 = 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 2889 and 2897.

LCM(2889,2897) = 33×1071×28971
LCM(2889,2897) = 8369433

Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1, 3, 9, 27, 107, 321, 963, 2889

Factors of 2897

List of positive integer factors of 2897 that divides 2897 without a remainder.

1, 2897

Least Common Multiple of 2889 and 2897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2889 and 2897, than apply into the LCM equation.

GCF(2889,2897) = 1
LCM(2889,2897) = ( 2889 × 2897) / 1
LCM(2889,2897) = 8369433 / 1
LCM(2889,2897) = 8369433

Properties of LCM 2889 and 2897

(i) The LCM of 2897 and 2889 is associative

LCM of 2889 and 2897 = LCM of 2897 and 2889

Related Least Common Multiples of 2889

Related Least Common Multiples of 2897

Frequently Asked Questions on LCM of 2889 and 2897

1. What is the LCM of 2889 and 2897?

Answer: LCM of 2889 and 2897 is 8369433.

2. What are the Factors of 2889?

Answer: Factors of 2889 are 1, 3, 9, 27, 107, 321, 963, 2889. There are 8 integers that are factors of 2889. The greatest factor of 2889 is 2889.

3. What are the Factors of 2897?

Answer: Factors of 2897 are 1, 2897. There are 2 integers that are factors of 2897. The greatest factor of 2897 is 2897.

4. How to Find the LCM of 2889 and 2897?

Answer:

Least Common Multiple of 2889 and 2897 = 8369433

Step 1: Find the prime factorization of 2889

2889 = 3 x 3 x 3 x 107

Step 2: Find the prime factorization of 2897

2897 = 2897

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

LCM = 8369433 = 3 x 3 x 3 x 107 x 2897

Step 4: Therefore, the least common multiple of 2889 and 2897 is 8369433.