Least Common Multiple of 1845 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 1845 and 1850 the smallest integer that is 682650 that is divisible by both numbers.

Least Common Multiple (LCM) of 1845 and 1850 is 682650.

LCM(1845,1850) = 682650

LCM of 1845 and 1850

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

LCM of:
and

Least Common Multiple of 1845 and 1850

LCM of 1845 and 1850 is 682650

Least common multiple can be found by multiplying the highest exponent prime factors of 1845 and 1850. First we will calculate the prime factors of 1845 and 1850.

Prime Factorization of 1845


3 1845
3 615
5 205
41 41
1

Prime factors of 1845 are 3, 5,41. Prime factorization of 1845 in exponential form is:

1845 = 32×51×411

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 1845 and 1850.

LCM(1845,1850) = 21×32×52×371×411
LCM(1845,1850) = 682650

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845

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 1845 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 1845 and 1850, than apply into the LCM equation.

GCF(1845,1850) = 5
LCM(1845,1850) = ( 1845 × 1850) / 5
LCM(1845,1850) = 3413250 / 5
LCM(1845,1850) = 682650

Properties of LCM 1845 and 1850

(i) The LCM of 1850 and 1845 is associative

LCM of 1845 and 1850 = LCM of 1850 and 1845

Related Least Common Multiples of 1845

Related Least Common Multiples of 1850

Frequently Asked Questions on LCM of 1845 and 1850

1. What is the LCM of 1845 and 1850?

Answer: LCM of 1845 and 1850 is 682650.

2. What are the Factors of 1845?

Answer: Factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845. There are 12 integers that are factors of 1845. The greatest factor of 1845 is 1845.

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 1845 and 1850?

Answer:

Least Common Multiple of 1845 and 1850 = 682650

Step 1: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

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 = 682650 = 2 x 3 x 3 x 5 x 5 x 37 x 41

Step 4: Therefore, the least common multiple of 1845 and 1850 is 682650.