Least Common Multiple of 5890 and 5895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5890 and 5895 the smallest integer that is 6944310 that is divisible by both numbers.

Least Common Multiple (LCM) of 5890 and 5895 is 6944310.

LCM(5890,5895) = 6944310

LCM of 5890 and 5895

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

LCM of:
and

Least Common Multiple of 5890 and 5895

LCM of 5890 and 5895 is 6944310

Least common multiple can be found by multiplying the highest exponent prime factors of 5890 and 5895. First we will calculate the prime factors of 5890 and 5895.

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

Prime Factorization of 5895


3 5895
3 1965
5 655
131 131
1

Prime factors of 5895 are 3, 5,131. Prime factorization of 5895 in exponential form is:

5895 = 32×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5890 and 5895.

LCM(5890,5895) = 21×32×51×191×311×1311
LCM(5890,5895) = 6944310

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

Factors of 5895

List of positive integer factors of 5895 that divides 5895 without a remainder.

1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895

Least Common Multiple of 5890 and 5895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5890 and 5895, than apply into the LCM equation.

GCF(5890,5895) = 5
LCM(5890,5895) = ( 5890 × 5895) / 5
LCM(5890,5895) = 34721550 / 5
LCM(5890,5895) = 6944310

Properties of LCM 5890 and 5895

(i) The LCM of 5895 and 5890 is associative

LCM of 5890 and 5895 = LCM of 5895 and 5890

Related Least Common Multiples of 5890

Related Least Common Multiples of 5895

Frequently Asked Questions on LCM of 5890 and 5895

1. What is the LCM of 5890 and 5895?

Answer: LCM of 5890 and 5895 is 6944310.

2. 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.

3. What are the Factors of 5895?

Answer: Factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895. There are 12 integers that are factors of 5895. The greatest factor of 5895 is 5895.

4. How to Find the LCM of 5890 and 5895?

Answer:

Least Common Multiple of 5890 and 5895 = 6944310

Step 1: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

Step 2: Find the prime factorization of 5895

5895 = 3 x 3 x 5 x 131

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

LCM = 6944310 = 2 x 3 x 3 x 5 x 19 x 31 x 131

Step 4: Therefore, the least common multiple of 5890 and 5895 is 6944310.