Least Common Multiple of 1843 and 1850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1843 and 1850 the smallest integer that is 3409550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1843 and 1850 is 3409550.

LCM(1843,1850) = 3409550

LCM of 1843 and 1850

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

LCM of:
and

Least Common Multiple of 1843 and 1850

LCM of 1843 and 1850 is 3409550

Least common multiple can be found by multiplying the highest exponent prime factors of 1843 and 1850. First we will calculate the prime factors of 1843 and 1850.

Prime Factorization of 1843


19 1843
97 97
1

Prime factors of 1843 are 19,97. Prime factorization of 1843 in exponential form is:

1843 = 191×971

Prime Factorization of 1850


2 1850
5 925
5 185
37 37
1

Prime factors of 1850 are 2, 5,37. Prime factorization of 1850 in exponential form is:

1850 = 21×52×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1843 and 1850.

LCM(1843,1850) = 21×52×191×371×971
LCM(1843,1850) = 3409550

Factors of 1843

List of positive integer factors of 1843 that divides 1843 without a remainder.

1, 19, 97, 1843

Factors of 1850

List of positive integer factors of 1850 that divides 1850 without a remainder.

1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850

Least Common Multiple of 1843 and 1850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1843 and 1850, than apply into the LCM equation.

GCF(1843,1850) = 1
LCM(1843,1850) = ( 1843 × 1850) / 1
LCM(1843,1850) = 3409550 / 1
LCM(1843,1850) = 3409550

Properties of LCM 1843 and 1850

(i) The LCM of 1850 and 1843 is associative

LCM of 1843 and 1850 = LCM of 1850 and 1843

Related Least Common Multiples of 1843

Related Least Common Multiples of 1850

Frequently Asked Questions on LCM of 1843 and 1850

1. What is the LCM of 1843 and 1850?

Answer: LCM of 1843 and 1850 is 3409550.

2. What are the Factors of 1843?

Answer: Factors of 1843 are 1, 19, 97, 1843. There are 4 integers that are factors of 1843. The greatest factor of 1843 is 1843.

3. What are the Factors of 1850?

Answer: Factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850. There are 12 integers that are factors of 1850. The greatest factor of 1850 is 1850.

4. How to Find the LCM of 1843 and 1850?

Answer:

Least Common Multiple of 1843 and 1850 = 3409550

Step 1: Find the prime factorization of 1843

1843 = 19 x 97

Step 2: Find the prime factorization of 1850

1850 = 2 x 5 x 5 x 37

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

LCM = 3409550 = 2 x 5 x 5 x 19 x 37 x 97

Step 4: Therefore, the least common multiple of 1843 and 1850 is 3409550.