Least Common Multiple of 1850 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 1850 and 1856 the smallest integer that is 1716800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1850 and 1856 is 1716800.

LCM(1850,1856) = 1716800

LCM of 1850 and 1856

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

LCM of:
and

Least Common Multiple of 1850 and 1856

LCM of 1850 and 1856 is 1716800

Least common multiple can be found by multiplying the highest exponent prime factors of 1850 and 1856. First we will calculate the prime factors of 1850 and 1856.

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

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 1850 and 1856.

LCM(1850,1856) = 26×52×291×371
LCM(1850,1856) = 1716800

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

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 1850 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 1850 and 1856, than apply into the LCM equation.

GCF(1850,1856) = 2
LCM(1850,1856) = ( 1850 × 1856) / 2
LCM(1850,1856) = 3433600 / 2
LCM(1850,1856) = 1716800

Properties of LCM 1850 and 1856

(i) The LCM of 1856 and 1850 is associative

LCM of 1850 and 1856 = LCM of 1856 and 1850

Related Least Common Multiples of 1850

Related Least Common Multiples of 1856

Frequently Asked Questions on LCM of 1850 and 1856

1. What is the LCM of 1850 and 1856?

Answer: LCM of 1850 and 1856 is 1716800.

2. 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.

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 1850 and 1856?

Answer:

Least Common Multiple of 1850 and 1856 = 1716800

Step 1: Find the prime factorization of 1850

1850 = 2 x 5 x 5 x 37

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 = 1716800 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 29 x 37

Step 4: Therefore, the least common multiple of 1850 and 1856 is 1716800.