Least Common Multiple of 2889 and 2890

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 2890 the smallest integer that is 8349210 that is divisible by both numbers.

Least Common Multiple (LCM) of 2889 and 2890 is 8349210.

LCM(2889,2890) = 8349210

LCM of 2889 and 2890

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

LCM of:
and

Least Common Multiple of 2889 and 2890

LCM of 2889 and 2890 is 8349210

Least common multiple can be found by multiplying the highest exponent prime factors of 2889 and 2890. First we will calculate the prime factors of 2889 and 2890.

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 2890


2 2890
5 1445
17 289
17 17
1

Prime factors of 2890 are 2, 5,17. Prime factorization of 2890 in exponential form is:

2890 = 21×51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 2889 and 2890.

LCM(2889,2890) = 21×33×51×172×1071
LCM(2889,2890) = 8349210

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 2890

List of positive integer factors of 2890 that divides 2890 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890

Least Common Multiple of 2889 and 2890 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 2890, than apply into the LCM equation.

GCF(2889,2890) = 1
LCM(2889,2890) = ( 2889 × 2890) / 1
LCM(2889,2890) = 8349210 / 1
LCM(2889,2890) = 8349210

Properties of LCM 2889 and 2890

(i) The LCM of 2890 and 2889 is associative

LCM of 2889 and 2890 = LCM of 2890 and 2889

Related Least Common Multiples of 2889

Related Least Common Multiples of 2890

Frequently Asked Questions on LCM of 2889 and 2890

1. What is the LCM of 2889 and 2890?

Answer: LCM of 2889 and 2890 is 8349210.

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 2890?

Answer: Factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890. There are 12 integers that are factors of 2890. The greatest factor of 2890 is 2890.

4. How to Find the LCM of 2889 and 2890?

Answer:

Least Common Multiple of 2889 and 2890 = 8349210

Step 1: Find the prime factorization of 2889

2889 = 3 x 3 x 3 x 107

Step 2: Find the prime factorization of 2890

2890 = 2 x 5 x 17 x 17

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

LCM = 8349210 = 2 x 3 x 3 x 3 x 5 x 17 x 17 x 107

Step 4: Therefore, the least common multiple of 2889 and 2890 is 8349210.