Least Common Multiple of 5898 and 5906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5898 and 5906 the smallest integer that is 17416794 that is divisible by both numbers.

Least Common Multiple (LCM) of 5898 and 5906 is 17416794.

LCM(5898,5906) = 17416794

LCM of 5898 and 5906

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

LCM of:
and

Least Common Multiple of 5898 and 5906

LCM of 5898 and 5906 is 17416794

Least common multiple can be found by multiplying the highest exponent prime factors of 5898 and 5906. First we will calculate the prime factors of 5898 and 5906.

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

Prime Factorization of 5906


2 5906
2953 2953
1

Prime factors of 5906 are 2,2953. Prime factorization of 5906 in exponential form is:

5906 = 21×29531

Now multiplying the highest exponent prime factors to calculate the LCM of 5898 and 5906.

LCM(5898,5906) = 21×31×9831×29531
LCM(5898,5906) = 17416794

Factors of 5898

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

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

Factors of 5906

List of positive integer factors of 5906 that divides 5906 without a remainder.

1, 2, 2953, 5906

Least Common Multiple of 5898 and 5906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5898 and 5906, than apply into the LCM equation.

GCF(5898,5906) = 2
LCM(5898,5906) = ( 5898 × 5906) / 2
LCM(5898,5906) = 34833588 / 2
LCM(5898,5906) = 17416794

Properties of LCM 5898 and 5906

(i) The LCM of 5906 and 5898 is associative

LCM of 5898 and 5906 = LCM of 5906 and 5898

Related Least Common Multiples of 5898

Related Least Common Multiples of 5906

Frequently Asked Questions on LCM of 5898 and 5906

1. What is the LCM of 5898 and 5906?

Answer: LCM of 5898 and 5906 is 17416794.

2. 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.

3. What are the Factors of 5906?

Answer: Factors of 5906 are 1, 2, 2953, 5906. There are 4 integers that are factors of 5906. The greatest factor of 5906 is 5906.

4. How to Find the LCM of 5898 and 5906?

Answer:

Least Common Multiple of 5898 and 5906 = 17416794

Step 1: Find the prime factorization of 5898

5898 = 2 x 3 x 983

Step 2: Find the prime factorization of 5906

5906 = 2 x 2953

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

LCM = 17416794 = 2 x 3 x 983 x 2953

Step 4: Therefore, the least common multiple of 5898 and 5906 is 17416794.