Least Common Multiple of 5890 and 5898

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 5898 the smallest integer that is 17369610 that is divisible by both numbers.

Least Common Multiple (LCM) of 5890 and 5898 is 17369610.

LCM(5890,5898) = 17369610

LCM of 5890 and 5898

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

LCM of:
and

Least Common Multiple of 5890 and 5898

LCM of 5890 and 5898 is 17369610

Least common multiple can be found by multiplying the highest exponent prime factors of 5890 and 5898. First we will calculate the prime factors of 5890 and 5898.

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 5898


2 5898
3 2949
983 983
1

Prime factors of 5898 are 2, 3,983. Prime factorization of 5898 in exponential form is:

5898 = 21×31×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 5890 and 5898.

LCM(5890,5898) = 21×31×51×191×311×9831
LCM(5890,5898) = 17369610

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 5898

List of positive integer factors of 5898 that divides 5898 without a remainder.

1, 2, 3, 6, 983, 1966, 2949, 5898

Least Common Multiple of 5890 and 5898 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 5898, than apply into the LCM equation.

GCF(5890,5898) = 2
LCM(5890,5898) = ( 5890 × 5898) / 2
LCM(5890,5898) = 34739220 / 2
LCM(5890,5898) = 17369610

Properties of LCM 5890 and 5898

(i) The LCM of 5898 and 5890 is associative

LCM of 5890 and 5898 = LCM of 5898 and 5890

Related Least Common Multiples of 5890

Related Least Common Multiples of 5898

Frequently Asked Questions on LCM of 5890 and 5898

1. What is the LCM of 5890 and 5898?

Answer: LCM of 5890 and 5898 is 17369610.

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 5898?

Answer: Factors of 5898 are 1, 2, 3, 6, 983, 1966, 2949, 5898. There are 8 integers that are factors of 5898. The greatest factor of 5898 is 5898.

4. How to Find the LCM of 5890 and 5898?

Answer:

Least Common Multiple of 5890 and 5898 = 17369610

Step 1: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

Step 2: Find the prime factorization of 5898

5898 = 2 x 3 x 983

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

LCM = 17369610 = 2 x 3 x 5 x 19 x 31 x 983

Step 4: Therefore, the least common multiple of 5890 and 5898 is 17369610.