Least Common Multiple of 1842 and 1846

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 1846 the smallest integer that is 1700166 that is divisible by both numbers.

Least Common Multiple (LCM) of 1842 and 1846 is 1700166.

LCM(1842,1846) = 1700166

LCM of 1842 and 1846

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

LCM of:
and

Least Common Multiple of 1842 and 1846

LCM of 1842 and 1846 is 1700166

Least common multiple can be found by multiplying the highest exponent prime factors of 1842 and 1846. First we will calculate the prime factors of 1842 and 1846.

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 1846


2 1846
13 923
71 71
1

Prime factors of 1846 are 2, 13,71. Prime factorization of 1846 in exponential form is:

1846 = 21×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1842 and 1846.

LCM(1842,1846) = 21×31×131×711×3071
LCM(1842,1846) = 1700166

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 1846

List of positive integer factors of 1846 that divides 1846 without a remainder.

1, 2, 13, 26, 71, 142, 923, 1846

Least Common Multiple of 1842 and 1846 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 1846, than apply into the LCM equation.

GCF(1842,1846) = 2
LCM(1842,1846) = ( 1842 × 1846) / 2
LCM(1842,1846) = 3400332 / 2
LCM(1842,1846) = 1700166

Properties of LCM 1842 and 1846

(i) The LCM of 1846 and 1842 is associative

LCM of 1842 and 1846 = LCM of 1846 and 1842

Related Least Common Multiples of 1842

Related Least Common Multiples of 1846

Frequently Asked Questions on LCM of 1842 and 1846

1. What is the LCM of 1842 and 1846?

Answer: LCM of 1842 and 1846 is 1700166.

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 1846?

Answer: Factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846. There are 8 integers that are factors of 1846. The greatest factor of 1846 is 1846.

4. How to Find the LCM of 1842 and 1846?

Answer:

Least Common Multiple of 1842 and 1846 = 1700166

Step 1: Find the prime factorization of 1842

1842 = 2 x 3 x 307

Step 2: Find the prime factorization of 1846

1846 = 2 x 13 x 71

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

LCM = 1700166 = 2 x 3 x 13 x 71 x 307

Step 4: Therefore, the least common multiple of 1842 and 1846 is 1700166.