Least Common Multiple of 5885 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 5885 and 5890 the smallest integer that is 6932530 that is divisible by both numbers.

Least Common Multiple (LCM) of 5885 and 5890 is 6932530.

LCM(5885,5890) = 6932530

LCM of 5885 and 5890

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

LCM of:
and

Least Common Multiple of 5885 and 5890

LCM of 5885 and 5890 is 6932530

Least common multiple can be found by multiplying the highest exponent prime factors of 5885 and 5890. First we will calculate the prime factors of 5885 and 5890.

Prime Factorization of 5885


5 5885
11 1177
107 107
1

Prime factors of 5885 are 5, 11,107. Prime factorization of 5885 in exponential form is:

5885 = 51×111×1071

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 5885 and 5890.

LCM(5885,5890) = 21×51×111×191×311×1071
LCM(5885,5890) = 6932530

Factors of 5885

List of positive integer factors of 5885 that divides 5885 without a remainder.

1, 5, 11, 55, 107, 535, 1177, 5885

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 5885 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 5885 and 5890, than apply into the LCM equation.

GCF(5885,5890) = 5
LCM(5885,5890) = ( 5885 × 5890) / 5
LCM(5885,5890) = 34662650 / 5
LCM(5885,5890) = 6932530

Properties of LCM 5885 and 5890

(i) The LCM of 5890 and 5885 is associative

LCM of 5885 and 5890 = LCM of 5890 and 5885

Related Least Common Multiples of 5885

Related Least Common Multiples of 5890

Frequently Asked Questions on LCM of 5885 and 5890

1. What is the LCM of 5885 and 5890?

Answer: LCM of 5885 and 5890 is 6932530.

2. What are the Factors of 5885?

Answer: Factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885. There are 8 integers that are factors of 5885. The greatest factor of 5885 is 5885.

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 5885 and 5890?

Answer:

Least Common Multiple of 5885 and 5890 = 6932530

Step 1: Find the prime factorization of 5885

5885 = 5 x 11 x 107

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 = 6932530 = 2 x 5 x 11 x 19 x 31 x 107

Step 4: Therefore, the least common multiple of 5885 and 5890 is 6932530.