Least Common Multiple of 5844 and 5850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5844 and 5850 the smallest integer that is 5697900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5844 and 5850 is 5697900.

LCM(5844,5850) = 5697900

LCM of 5844 and 5850

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

LCM of:
and

Least Common Multiple of 5844 and 5850

LCM of 5844 and 5850 is 5697900

Least common multiple can be found by multiplying the highest exponent prime factors of 5844 and 5850. First we will calculate the prime factors of 5844 and 5850.

Prime Factorization of 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2, 3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5844 and 5850.

LCM(5844,5850) = 22×32×52×131×4871
LCM(5844,5850) = 5697900

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844

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

Least Common Multiple of 5844 and 5850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5844 and 5850, than apply into the LCM equation.

GCF(5844,5850) = 6
LCM(5844,5850) = ( 5844 × 5850) / 6
LCM(5844,5850) = 34187400 / 6
LCM(5844,5850) = 5697900

Properties of LCM 5844 and 5850

(i) The LCM of 5850 and 5844 is associative

LCM of 5844 and 5850 = LCM of 5850 and 5844

Related Least Common Multiples of 5844

Related Least Common Multiples of 5850

Frequently Asked Questions on LCM of 5844 and 5850

1. What is the LCM of 5844 and 5850?

Answer: LCM of 5844 and 5850 is 5697900.

2. What are the Factors of 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

3. 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.

4. How to Find the LCM of 5844 and 5850?

Answer:

Least Common Multiple of 5844 and 5850 = 5697900

Step 1: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

Step 2: Find the prime factorization of 5850

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

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

LCM = 5697900 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 487

Step 4: Therefore, the least common multiple of 5844 and 5850 is 5697900.