Least Common Multiple of 1844 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 1844 and 1850 the smallest integer that is 1705700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1844 and 1850 is 1705700.

LCM(1844,1850) = 1705700

LCM of 1844 and 1850

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

LCM of:
and

Least Common Multiple of 1844 and 1850

LCM of 1844 and 1850 is 1705700

Least common multiple can be found by multiplying the highest exponent prime factors of 1844 and 1850. First we will calculate the prime factors of 1844 and 1850.

Prime Factorization of 1844


2 1844
2 922
461 461
1

Prime factors of 1844 are 2,461. Prime factorization of 1844 in exponential form is:

1844 = 22×4611

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 1844 and 1850.

LCM(1844,1850) = 22×52×371×4611
LCM(1844,1850) = 1705700

Factors of 1844

List of positive integer factors of 1844 that divides 1844 without a remainder.

1, 2, 4, 461, 922, 1844

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 1844 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 1844 and 1850, than apply into the LCM equation.

GCF(1844,1850) = 2
LCM(1844,1850) = ( 1844 × 1850) / 2
LCM(1844,1850) = 3411400 / 2
LCM(1844,1850) = 1705700

Properties of LCM 1844 and 1850

(i) The LCM of 1850 and 1844 is associative

LCM of 1844 and 1850 = LCM of 1850 and 1844

Related Least Common Multiples of 1844

Related Least Common Multiples of 1850

Frequently Asked Questions on LCM of 1844 and 1850

1. What is the LCM of 1844 and 1850?

Answer: LCM of 1844 and 1850 is 1705700.

2. What are the Factors of 1844?

Answer: Factors of 1844 are 1, 2, 4, 461, 922, 1844. There are 6 integers that are factors of 1844. The greatest factor of 1844 is 1844.

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 1844 and 1850?

Answer:

Least Common Multiple of 1844 and 1850 = 1705700

Step 1: Find the prime factorization of 1844

1844 = 2 x 2 x 461

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 = 1705700 = 2 x 2 x 5 x 5 x 37 x 461

Step 4: Therefore, the least common multiple of 1844 and 1850 is 1705700.