Least Common Multiple of 5860 and 5868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5860 and 5868 the smallest integer that is 8596620 that is divisible by both numbers.

Least Common Multiple (LCM) of 5860 and 5868 is 8596620.

LCM(5860,5868) = 8596620

LCM of 5860 and 5868

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

LCM of:
and

Least Common Multiple of 5860 and 5868

LCM of 5860 and 5868 is 8596620

Least common multiple can be found by multiplying the highest exponent prime factors of 5860 and 5868. First we will calculate the prime factors of 5860 and 5868.

Prime Factorization of 5860


2 5860
2 2930
5 1465
293 293
1

Prime factors of 5860 are 2, 5,293. Prime factorization of 5860 in exponential form is:

5860 = 22×51×2931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5860 and 5868.

LCM(5860,5868) = 22×32×51×1631×2931
LCM(5860,5868) = 8596620

Factors of 5860

List of positive integer factors of 5860 that divides 5860 without a remainder.

1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860

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

Least Common Multiple of 5860 and 5868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5860 and 5868, than apply into the LCM equation.

GCF(5860,5868) = 4
LCM(5860,5868) = ( 5860 × 5868) / 4
LCM(5860,5868) = 34386480 / 4
LCM(5860,5868) = 8596620

Properties of LCM 5860 and 5868

(i) The LCM of 5868 and 5860 is associative

LCM of 5860 and 5868 = LCM of 5868 and 5860

Related Least Common Multiples of 5860

Related Least Common Multiples of 5868

Frequently Asked Questions on LCM of 5860 and 5868

1. What is the LCM of 5860 and 5868?

Answer: LCM of 5860 and 5868 is 8596620.

2. What are the Factors of 5860?

Answer: Factors of 5860 are 1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860. There are 12 integers that are factors of 5860. The greatest factor of 5860 is 5860.

3. 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.

4. How to Find the LCM of 5860 and 5868?

Answer:

Least Common Multiple of 5860 and 5868 = 8596620

Step 1: Find the prime factorization of 5860

5860 = 2 x 2 x 5 x 293

Step 2: Find the prime factorization of 5868

5868 = 2 x 2 x 3 x 3 x 163

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

LCM = 8596620 = 2 x 2 x 3 x 3 x 5 x 163 x 293

Step 4: Therefore, the least common multiple of 5860 and 5868 is 8596620.