Least Common Multiple of 1842 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 1842 and 1850 the smallest integer that is 1703850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1842 and 1850 is 1703850.

LCM(1842,1850) = 1703850

LCM of 1842 and 1850

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

LCM of:
and

Least Common Multiple of 1842 and 1850

LCM of 1842 and 1850 is 1703850

Least common multiple can be found by multiplying the highest exponent prime factors of 1842 and 1850. First we will calculate the prime factors of 1842 and 1850.

Prime Factorization of 1842


2 1842
3 921
307 307
1

Prime factors of 1842 are 2, 3,307. Prime factorization of 1842 in exponential form is:

1842 = 21×31×3071

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 1842 and 1850.

LCM(1842,1850) = 21×31×52×371×3071
LCM(1842,1850) = 1703850

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1, 2, 3, 6, 307, 614, 921, 1842

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 1842 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 1842 and 1850, than apply into the LCM equation.

GCF(1842,1850) = 2
LCM(1842,1850) = ( 1842 × 1850) / 2
LCM(1842,1850) = 3407700 / 2
LCM(1842,1850) = 1703850

Properties of LCM 1842 and 1850

(i) The LCM of 1850 and 1842 is associative

LCM of 1842 and 1850 = LCM of 1850 and 1842

Related Least Common Multiples of 1842

Related Least Common Multiples of 1850

Frequently Asked Questions on LCM of 1842 and 1850

1. What is the LCM of 1842 and 1850?

Answer: LCM of 1842 and 1850 is 1703850.

2. What are the Factors of 1842?

Answer: Factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842. There are 8 integers that are factors of 1842. The greatest factor of 1842 is 1842.

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 1842 and 1850?

Answer:

Least Common Multiple of 1842 and 1850 = 1703850

Step 1: Find the prime factorization of 1842

1842 = 2 x 3 x 307

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 = 1703850 = 2 x 3 x 5 x 5 x 37 x 307

Step 4: Therefore, the least common multiple of 1842 and 1850 is 1703850.