Least Common Multiple of 5854 and 5860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5854 and 5860 the smallest integer that is 17152220 that is divisible by both numbers.

Least Common Multiple (LCM) of 5854 and 5860 is 17152220.

LCM(5854,5860) = 17152220

LCM of 5854 and 5860

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

LCM of:
and

Least Common Multiple of 5854 and 5860

LCM of 5854 and 5860 is 17152220

Least common multiple can be found by multiplying the highest exponent prime factors of 5854 and 5860. First we will calculate the prime factors of 5854 and 5860.

Prime Factorization of 5854


2 5854
2927 2927
1

Prime factors of 5854 are 2,2927. Prime factorization of 5854 in exponential form is:

5854 = 21×29271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5854 and 5860.

LCM(5854,5860) = 22×51×2931×29271
LCM(5854,5860) = 17152220

Factors of 5854

List of positive integer factors of 5854 that divides 5854 without a remainder.

1, 2, 2927, 5854

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

Least Common Multiple of 5854 and 5860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5854 and 5860, than apply into the LCM equation.

GCF(5854,5860) = 2
LCM(5854,5860) = ( 5854 × 5860) / 2
LCM(5854,5860) = 34304440 / 2
LCM(5854,5860) = 17152220

Properties of LCM 5854 and 5860

(i) The LCM of 5860 and 5854 is associative

LCM of 5854 and 5860 = LCM of 5860 and 5854

Related Least Common Multiples of 5854

Related Least Common Multiples of 5860

Frequently Asked Questions on LCM of 5854 and 5860

1. What is the LCM of 5854 and 5860?

Answer: LCM of 5854 and 5860 is 17152220.

2. What are the Factors of 5854?

Answer: Factors of 5854 are 1, 2, 2927, 5854. There are 4 integers that are factors of 5854. The greatest factor of 5854 is 5854.

3. 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.

4. How to Find the LCM of 5854 and 5860?

Answer:

Least Common Multiple of 5854 and 5860 = 17152220

Step 1: Find the prime factorization of 5854

5854 = 2 x 2927

Step 2: Find the prime factorization of 5860

5860 = 2 x 2 x 5 x 293

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

LCM = 17152220 = 2 x 2 x 5 x 293 x 2927

Step 4: Therefore, the least common multiple of 5854 and 5860 is 17152220.