Least Common Multiple of 5850 and 5856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5850 and 5856 the smallest integer that is 5709600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5850 and 5856 is 5709600.

LCM(5850,5856) = 5709600

LCM of 5850 and 5856

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

LCM of:
and

Least Common Multiple of 5850 and 5856

LCM of 5850 and 5856 is 5709600

Least common multiple can be found by multiplying the highest exponent prime factors of 5850 and 5856. First we will calculate the prime factors of 5850 and 5856.

Prime Factorization of 5850


2 5850
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 5850 are 2, 3, 5,13. Prime factorization of 5850 in exponential form is:

5850 = 21×32×52×131

Prime Factorization of 5856


2 5856
2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 5856 are 2, 3,61. Prime factorization of 5856 in exponential form is:

5856 = 25×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5850 and 5856.

LCM(5850,5856) = 25×32×52×131×611
LCM(5850,5856) = 5709600

Factors of 5850

List of positive integer factors of 5850 that divides 5850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850

Factors of 5856

List of positive integer factors of 5856 that divides 5856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856

Least Common Multiple of 5850 and 5856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5850 and 5856, than apply into the LCM equation.

GCF(5850,5856) = 6
LCM(5850,5856) = ( 5850 × 5856) / 6
LCM(5850,5856) = 34257600 / 6
LCM(5850,5856) = 5709600

Properties of LCM 5850 and 5856

(i) The LCM of 5856 and 5850 is associative

LCM of 5850 and 5856 = LCM of 5856 and 5850

Related Least Common Multiples of 5850

Related Least Common Multiples of 5856

Frequently Asked Questions on LCM of 5850 and 5856

1. What is the LCM of 5850 and 5856?

Answer: LCM of 5850 and 5856 is 5709600.

2. What are the Factors of 5850?

Answer: Factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850. There are 36 integers that are factors of 5850. The greatest factor of 5850 is 5850.

3. What are the Factors of 5856?

Answer: Factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856. There are 24 integers that are factors of 5856. The greatest factor of 5856 is 5856.

4. How to Find the LCM of 5850 and 5856?

Answer:

Least Common Multiple of 5850 and 5856 = 5709600

Step 1: Find the prime factorization of 5850

5850 = 2 x 3 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 5856

5856 = 2 x 2 x 2 x 2 x 2 x 3 x 61

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

LCM = 5709600 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 61

Step 4: Therefore, the least common multiple of 5850 and 5856 is 5709600.