Least Common Multiple of 5852 and 5857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5852 and 5857 the smallest integer that is 34275164 that is divisible by both numbers.

Least Common Multiple (LCM) of 5852 and 5857 is 34275164.

LCM(5852,5857) = 34275164

LCM of 5852 and 5857

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

LCM of:
and

Least Common Multiple of 5852 and 5857

LCM of 5852 and 5857 is 34275164

Least common multiple can be found by multiplying the highest exponent prime factors of 5852 and 5857. First we will calculate the prime factors of 5852 and 5857.

Prime Factorization of 5852


2 5852
2 2926
7 1463
11 209
19 19
1

Prime factors of 5852 are 2, 7, 11,19. Prime factorization of 5852 in exponential form is:

5852 = 22×71×111×191

Prime Factorization of 5857


5857 5857
1

Prime factors of 5857 are 5857. Prime factorization of 5857 in exponential form is:

5857 = 58571

Now multiplying the highest exponent prime factors to calculate the LCM of 5852 and 5857.

LCM(5852,5857) = 22×71×111×191×58571
LCM(5852,5857) = 34275164

Factors of 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852

Factors of 5857

List of positive integer factors of 5857 that divides 5857 without a remainder.

1, 5857

Least Common Multiple of 5852 and 5857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5852 and 5857, than apply into the LCM equation.

GCF(5852,5857) = 1
LCM(5852,5857) = ( 5852 × 5857) / 1
LCM(5852,5857) = 34275164 / 1
LCM(5852,5857) = 34275164

Properties of LCM 5852 and 5857

(i) The LCM of 5857 and 5852 is associative

LCM of 5852 and 5857 = LCM of 5857 and 5852

Related Least Common Multiples of 5852

Related Least Common Multiples of 5857

Frequently Asked Questions on LCM of 5852 and 5857

1. What is the LCM of 5852 and 5857?

Answer: LCM of 5852 and 5857 is 34275164.

2. What are the Factors of 5852?

Answer: Factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852. There are 24 integers that are factors of 5852. The greatest factor of 5852 is 5852.

3. What are the Factors of 5857?

Answer: Factors of 5857 are 1, 5857. There are 2 integers that are factors of 5857. The greatest factor of 5857 is 5857.

4. How to Find the LCM of 5852 and 5857?

Answer:

Least Common Multiple of 5852 and 5857 = 34275164

Step 1: Find the prime factorization of 5852

5852 = 2 x 2 x 7 x 11 x 19

Step 2: Find the prime factorization of 5857

5857 = 5857

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

LCM = 34275164 = 2 x 2 x 7 x 11 x 19 x 5857

Step 4: Therefore, the least common multiple of 5852 and 5857 is 34275164.