Least Common Multiple of 1843 and 1847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1843 and 1847 the smallest integer that is 3404021 that is divisible by both numbers.

Least Common Multiple (LCM) of 1843 and 1847 is 3404021.

LCM(1843,1847) = 3404021

LCM of 1843 and 1847

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

LCM of:
and

Least Common Multiple of 1843 and 1847

LCM of 1843 and 1847 is 3404021

Least common multiple can be found by multiplying the highest exponent prime factors of 1843 and 1847. First we will calculate the prime factors of 1843 and 1847.

Prime Factorization of 1843


19 1843
97 97
1

Prime factors of 1843 are 19,97. Prime factorization of 1843 in exponential form is:

1843 = 191×971

Prime Factorization of 1847


1847 1847
1

Prime factors of 1847 are 1847. Prime factorization of 1847 in exponential form is:

1847 = 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 1843 and 1847.

LCM(1843,1847) = 191×971×18471
LCM(1843,1847) = 3404021

Factors of 1843

List of positive integer factors of 1843 that divides 1843 without a remainder.

1, 19, 97, 1843

Factors of 1847

List of positive integer factors of 1847 that divides 1847 without a remainder.

1, 1847

Least Common Multiple of 1843 and 1847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1843 and 1847, than apply into the LCM equation.

GCF(1843,1847) = 1
LCM(1843,1847) = ( 1843 × 1847) / 1
LCM(1843,1847) = 3404021 / 1
LCM(1843,1847) = 3404021

Properties of LCM 1843 and 1847

(i) The LCM of 1847 and 1843 is associative

LCM of 1843 and 1847 = LCM of 1847 and 1843

Related Least Common Multiples of 1843

Related Least Common Multiples of 1847

Frequently Asked Questions on LCM of 1843 and 1847

1. What is the LCM of 1843 and 1847?

Answer: LCM of 1843 and 1847 is 3404021.

2. What are the Factors of 1843?

Answer: Factors of 1843 are 1, 19, 97, 1843. There are 4 integers that are factors of 1843. The greatest factor of 1843 is 1843.

3. What are the Factors of 1847?

Answer: Factors of 1847 are 1, 1847. There are 2 integers that are factors of 1847. The greatest factor of 1847 is 1847.

4. How to Find the LCM of 1843 and 1847?

Answer:

Least Common Multiple of 1843 and 1847 = 3404021

Step 1: Find the prime factorization of 1843

1843 = 19 x 97

Step 2: Find the prime factorization of 1847

1847 = 1847

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

LCM = 3404021 = 19 x 97 x 1847

Step 4: Therefore, the least common multiple of 1843 and 1847 is 3404021.