Least Common Multiple of 2889 and 2895

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 2895 the smallest integer that is 2787885 that is divisible by both numbers.

Least Common Multiple (LCM) of 2889 and 2895 is 2787885.

LCM(2889,2895) = 2787885

LCM of 2889 and 2895

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

LCM of:
and

Least Common Multiple of 2889 and 2895

LCM of 2889 and 2895 is 2787885

Least common multiple can be found by multiplying the highest exponent prime factors of 2889 and 2895. First we will calculate the prime factors of 2889 and 2895.

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 2895


3 2895
5 965
193 193
1

Prime factors of 2895 are 3, 5,193. Prime factorization of 2895 in exponential form is:

2895 = 31×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 2889 and 2895.

LCM(2889,2895) = 33×51×1071×1931
LCM(2889,2895) = 2787885

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 2895

List of positive integer factors of 2895 that divides 2895 without a remainder.

1, 3, 5, 15, 193, 579, 965, 2895

Least Common Multiple of 2889 and 2895 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 2895, than apply into the LCM equation.

GCF(2889,2895) = 3
LCM(2889,2895) = ( 2889 × 2895) / 3
LCM(2889,2895) = 8363655 / 3
LCM(2889,2895) = 2787885

Properties of LCM 2889 and 2895

(i) The LCM of 2895 and 2889 is associative

LCM of 2889 and 2895 = LCM of 2895 and 2889

Related Least Common Multiples of 2889

Related Least Common Multiples of 2895

Frequently Asked Questions on LCM of 2889 and 2895

1. What is the LCM of 2889 and 2895?

Answer: LCM of 2889 and 2895 is 2787885.

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 2895?

Answer: Factors of 2895 are 1, 3, 5, 15, 193, 579, 965, 2895. There are 8 integers that are factors of 2895. The greatest factor of 2895 is 2895.

4. How to Find the LCM of 2889 and 2895?

Answer:

Least Common Multiple of 2889 and 2895 = 2787885

Step 1: Find the prime factorization of 2889

2889 = 3 x 3 x 3 x 107

Step 2: Find the prime factorization of 2895

2895 = 3 x 5 x 193

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

LCM = 2787885 = 3 x 3 x 3 x 5 x 107 x 193

Step 4: Therefore, the least common multiple of 2889 and 2895 is 2787885.