Least Common Multiple of 5882 and 5890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5882 and 5890 the smallest integer that is 17322490 that is divisible by both numbers.

Least Common Multiple (LCM) of 5882 and 5890 is 17322490.

LCM(5882,5890) = 17322490

LCM of 5882 and 5890

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

LCM of:
and

Least Common Multiple of 5882 and 5890

LCM of 5882 and 5890 is 17322490

Least common multiple can be found by multiplying the highest exponent prime factors of 5882 and 5890. First we will calculate the prime factors of 5882 and 5890.

Prime Factorization of 5882


2 5882
17 2941
173 173
1

Prime factors of 5882 are 2, 17,173. Prime factorization of 5882 in exponential form is:

5882 = 21×171×1731

Prime Factorization of 5890


2 5890
5 2945
19 589
31 31
1

Prime factors of 5890 are 2, 5, 19,31. Prime factorization of 5890 in exponential form is:

5890 = 21×51×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5882 and 5890.

LCM(5882,5890) = 21×51×171×191×311×1731
LCM(5882,5890) = 17322490

Factors of 5882

List of positive integer factors of 5882 that divides 5882 without a remainder.

1, 2, 17, 34, 173, 346, 2941, 5882

Factors of 5890

List of positive integer factors of 5890 that divides 5890 without a remainder.

1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890

Least Common Multiple of 5882 and 5890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5882 and 5890, than apply into the LCM equation.

GCF(5882,5890) = 2
LCM(5882,5890) = ( 5882 × 5890) / 2
LCM(5882,5890) = 34644980 / 2
LCM(5882,5890) = 17322490

Properties of LCM 5882 and 5890

(i) The LCM of 5890 and 5882 is associative

LCM of 5882 and 5890 = LCM of 5890 and 5882

Related Least Common Multiples of 5882

Related Least Common Multiples of 5890

Frequently Asked Questions on LCM of 5882 and 5890

1. What is the LCM of 5882 and 5890?

Answer: LCM of 5882 and 5890 is 17322490.

2. What are the Factors of 5882?

Answer: Factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882. There are 8 integers that are factors of 5882. The greatest factor of 5882 is 5882.

3. What are the Factors of 5890?

Answer: Factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890. There are 16 integers that are factors of 5890. The greatest factor of 5890 is 5890.

4. How to Find the LCM of 5882 and 5890?

Answer:

Least Common Multiple of 5882 and 5890 = 17322490

Step 1: Find the prime factorization of 5882

5882 = 2 x 17 x 173

Step 2: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

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

LCM = 17322490 = 2 x 5 x 17 x 19 x 31 x 173

Step 4: Therefore, the least common multiple of 5882 and 5890 is 17322490.