Least Common Multiple of 1850 and 1855

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 1855 the smallest integer that is 686350 that is divisible by both numbers.

Least Common Multiple (LCM) of 1850 and 1855 is 686350.

LCM(1850,1855) = 686350

LCM of 1850 and 1855

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

LCM of:
and

Least Common Multiple of 1850 and 1855

LCM of 1850 and 1855 is 686350

Least common multiple can be found by multiplying the highest exponent prime factors of 1850 and 1855. First we will calculate the prime factors of 1850 and 1855.

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 1855


5 1855
7 371
53 53
1

Prime factors of 1855 are 5, 7,53. Prime factorization of 1855 in exponential form is:

1855 = 51×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1850 and 1855.

LCM(1850,1855) = 21×52×71×371×531
LCM(1850,1855) = 686350

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 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1, 5, 7, 35, 53, 265, 371, 1855

Least Common Multiple of 1850 and 1855 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 1855, than apply into the LCM equation.

GCF(1850,1855) = 5
LCM(1850,1855) = ( 1850 × 1855) / 5
LCM(1850,1855) = 3431750 / 5
LCM(1850,1855) = 686350

Properties of LCM 1850 and 1855

(i) The LCM of 1855 and 1850 is associative

LCM of 1850 and 1855 = LCM of 1855 and 1850

Related Least Common Multiples of 1850

Related Least Common Multiples of 1855

Frequently Asked Questions on LCM of 1850 and 1855

1. What is the LCM of 1850 and 1855?

Answer: LCM of 1850 and 1855 is 686350.

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 1855?

Answer: Factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855. There are 8 integers that are factors of 1855. The greatest factor of 1855 is 1855.

4. How to Find the LCM of 1850 and 1855?

Answer:

Least Common Multiple of 1850 and 1855 = 686350

Step 1: Find the prime factorization of 1850

1850 = 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 1855

1855 = 5 x 7 x 53

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

LCM = 686350 = 2 x 5 x 5 x 7 x 37 x 53

Step 4: Therefore, the least common multiple of 1850 and 1855 is 686350.