Least Common Multiple of 1849 and 1856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1849 and 1856 the smallest integer that is 3431744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1849 and 1856 is 3431744.

LCM(1849,1856) = 3431744

LCM of 1849 and 1856

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

LCM of:
and

Least Common Multiple of 1849 and 1856

LCM of 1849 and 1856 is 3431744

Least common multiple can be found by multiplying the highest exponent prime factors of 1849 and 1856. First we will calculate the prime factors of 1849 and 1856.

Prime Factorization of 1849


43 1849
43 43
1

Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:

1849 = 432

Prime Factorization of 1856


2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 1856 are 2,29. Prime factorization of 1856 in exponential form is:

1856 = 26×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1849 and 1856.

LCM(1849,1856) = 26×291×432
LCM(1849,1856) = 3431744

Factors of 1849

List of positive integer factors of 1849 that divides 1849 without a remainder.

1, 43, 1849

Factors of 1856

List of positive integer factors of 1856 that divides 1856 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856

Least Common Multiple of 1849 and 1856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1849 and 1856, than apply into the LCM equation.

GCF(1849,1856) = 1
LCM(1849,1856) = ( 1849 × 1856) / 1
LCM(1849,1856) = 3431744 / 1
LCM(1849,1856) = 3431744

Properties of LCM 1849 and 1856

(i) The LCM of 1856 and 1849 is associative

LCM of 1849 and 1856 = LCM of 1856 and 1849

Related Least Common Multiples of 1849

Related Least Common Multiples of 1856

Frequently Asked Questions on LCM of 1849 and 1856

1. What is the LCM of 1849 and 1856?

Answer: LCM of 1849 and 1856 is 3431744.

2. What are the Factors of 1849?

Answer: Factors of 1849 are 1, 43, 1849. There are 3 integers that are factors of 1849. The greatest factor of 1849 is 1849.

3. What are the Factors of 1856?

Answer: Factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856. There are 14 integers that are factors of 1856. The greatest factor of 1856 is 1856.

4. How to Find the LCM of 1849 and 1856?

Answer:

Least Common Multiple of 1849 and 1856 = 3431744

Step 1: Find the prime factorization of 1849

1849 = 43 x 43

Step 2: Find the prime factorization of 1856

1856 = 2 x 2 x 2 x 2 x 2 x 2 x 29

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

LCM = 3431744 = 2 x 2 x 2 x 2 x 2 x 2 x 29 x 43 x 43

Step 4: Therefore, the least common multiple of 1849 and 1856 is 3431744.