Least Common Multiple of 5868 and 5869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5868 and 5869 the smallest integer that is 34439292 that is divisible by both numbers.

Least Common Multiple (LCM) of 5868 and 5869 is 34439292.

LCM(5868,5869) = 34439292

LCM of 5868 and 5869

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

LCM of:
and

Least Common Multiple of 5868 and 5869

LCM of 5868 and 5869 is 34439292

Least common multiple can be found by multiplying the highest exponent prime factors of 5868 and 5869. First we will calculate the prime factors of 5868 and 5869.

Prime Factorization of 5868


2 5868
2 2934
3 1467
3 489
163 163
1

Prime factors of 5868 are 2, 3,163. Prime factorization of 5868 in exponential form is:

5868 = 22×32×1631

Prime Factorization of 5869


5869 5869
1

Prime factors of 5869 are 5869. Prime factorization of 5869 in exponential form is:

5869 = 58691

Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5869.

LCM(5868,5869) = 22×32×1631×58691
LCM(5868,5869) = 34439292

Factors of 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868

Factors of 5869

List of positive integer factors of 5869 that divides 5869 without a remainder.

1, 5869

Least Common Multiple of 5868 and 5869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5868 and 5869, than apply into the LCM equation.

GCF(5868,5869) = 1
LCM(5868,5869) = ( 5868 × 5869) / 1
LCM(5868,5869) = 34439292 / 1
LCM(5868,5869) = 34439292

Properties of LCM 5868 and 5869

(i) The LCM of 5869 and 5868 is associative

LCM of 5868 and 5869 = LCM of 5869 and 5868

Related Least Common Multiples of 5868

Related Least Common Multiples of 5869

Frequently Asked Questions on LCM of 5868 and 5869

1. What is the LCM of 5868 and 5869?

Answer: LCM of 5868 and 5869 is 34439292.

2. What are the Factors of 5868?

Answer: Factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868. There are 18 integers that are factors of 5868. The greatest factor of 5868 is 5868.

3. What are the Factors of 5869?

Answer: Factors of 5869 are 1, 5869. There are 2 integers that are factors of 5869. The greatest factor of 5869 is 5869.

4. How to Find the LCM of 5868 and 5869?

Answer:

Least Common Multiple of 5868 and 5869 = 34439292

Step 1: Find the prime factorization of 5868

5868 = 2 x 2 x 3 x 3 x 163

Step 2: Find the prime factorization of 5869

5869 = 5869

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

LCM = 34439292 = 2 x 2 x 3 x 3 x 163 x 5869

Step 4: Therefore, the least common multiple of 5868 and 5869 is 34439292.