Least Common Multiple of 1843 and 1848

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 1848 the smallest integer that is 3405864 that is divisible by both numbers.

Least Common Multiple (LCM) of 1843 and 1848 is 3405864.

LCM(1843,1848) = 3405864

LCM of 1843 and 1848

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

LCM of:
and

Least Common Multiple of 1843 and 1848

LCM of 1843 and 1848 is 3405864

Least common multiple can be found by multiplying the highest exponent prime factors of 1843 and 1848. First we will calculate the prime factors of 1843 and 1848.

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 1848


2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 1848 are 2, 3, 7,11. Prime factorization of 1848 in exponential form is:

1848 = 23×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1843 and 1848.

LCM(1843,1848) = 23×31×71×111×191×971
LCM(1843,1848) = 3405864

Factors of 1843

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

1, 19, 97, 1843

Factors of 1848

List of positive integer factors of 1848 that divides 1848 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848

Least Common Multiple of 1843 and 1848 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 1848, than apply into the LCM equation.

GCF(1843,1848) = 1
LCM(1843,1848) = ( 1843 × 1848) / 1
LCM(1843,1848) = 3405864 / 1
LCM(1843,1848) = 3405864

Properties of LCM 1843 and 1848

(i) The LCM of 1848 and 1843 is associative

LCM of 1843 and 1848 = LCM of 1848 and 1843

Related Least Common Multiples of 1843

Related Least Common Multiples of 1848

Frequently Asked Questions on LCM of 1843 and 1848

1. What is the LCM of 1843 and 1848?

Answer: LCM of 1843 and 1848 is 3405864.

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 1848?

Answer: Factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848. There are 32 integers that are factors of 1848. The greatest factor of 1848 is 1848.

4. How to Find the LCM of 1843 and 1848?

Answer:

Least Common Multiple of 1843 and 1848 = 3405864

Step 1: Find the prime factorization of 1843

1843 = 19 x 97

Step 2: Find the prime factorization of 1848

1848 = 2 x 2 x 2 x 3 x 7 x 11

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

LCM = 3405864 = 2 x 2 x 2 x 3 x 7 x 11 x 19 x 97

Step 4: Therefore, the least common multiple of 1843 and 1848 is 3405864.