Least Common Multiple of 5853 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 5853 and 5860 the smallest integer that is 34298580 that is divisible by both numbers.

Least Common Multiple (LCM) of 5853 and 5860 is 34298580.

LCM(5853,5860) = 34298580

LCM of 5853 and 5860

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

LCM of:
and

Least Common Multiple of 5853 and 5860

LCM of 5853 and 5860 is 34298580

Least common multiple can be found by multiplying the highest exponent prime factors of 5853 and 5860. First we will calculate the prime factors of 5853 and 5860.

Prime Factorization of 5853


3 5853
1951 1951
1

Prime factors of 5853 are 3,1951. Prime factorization of 5853 in exponential form is:

5853 = 31×19511

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 5853 and 5860.

LCM(5853,5860) = 22×31×51×2931×19511
LCM(5853,5860) = 34298580

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1, 3, 1951, 5853

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 5853 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 5853 and 5860, than apply into the LCM equation.

GCF(5853,5860) = 1
LCM(5853,5860) = ( 5853 × 5860) / 1
LCM(5853,5860) = 34298580 / 1
LCM(5853,5860) = 34298580

Properties of LCM 5853 and 5860

(i) The LCM of 5860 and 5853 is associative

LCM of 5853 and 5860 = LCM of 5860 and 5853

Related Least Common Multiples of 5853

Related Least Common Multiples of 5860

Frequently Asked Questions on LCM of 5853 and 5860

1. What is the LCM of 5853 and 5860?

Answer: LCM of 5853 and 5860 is 34298580.

2. What are the Factors of 5853?

Answer: Factors of 5853 are 1, 3, 1951, 5853. There are 4 integers that are factors of 5853. The greatest factor of 5853 is 5853.

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 5853 and 5860?

Answer:

Least Common Multiple of 5853 and 5860 = 34298580

Step 1: Find the prime factorization of 5853

5853 = 3 x 1951

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 = 34298580 = 2 x 2 x 3 x 5 x 293 x 1951

Step 4: Therefore, the least common multiple of 5853 and 5860 is 34298580.