Least Common Multiple of 1841 and 1849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1841 and 1849 the smallest integer that is 3404009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1841 and 1849 is 3404009.

LCM(1841,1849) = 3404009

LCM of 1841 and 1849

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

LCM of:
and

Least Common Multiple of 1841 and 1849

LCM of 1841 and 1849 is 3404009

Least common multiple can be found by multiplying the highest exponent prime factors of 1841 and 1849. First we will calculate the prime factors of 1841 and 1849.

Prime Factorization of 1841


7 1841
263 263
1

Prime factors of 1841 are 7,263. Prime factorization of 1841 in exponential form is:

1841 = 71×2631

Prime Factorization of 1849


43 1849
43 43
1

Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:

1849 = 432

Now multiplying the highest exponent prime factors to calculate the LCM of 1841 and 1849.

LCM(1841,1849) = 71×432×2631
LCM(1841,1849) = 3404009

Factors of 1841

List of positive integer factors of 1841 that divides 1841 without a remainder.

1, 7, 263, 1841

Factors of 1849

List of positive integer factors of 1849 that divides 1849 without a remainder.

1, 43, 1849

Least Common Multiple of 1841 and 1849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1841 and 1849, than apply into the LCM equation.

GCF(1841,1849) = 1
LCM(1841,1849) = ( 1841 × 1849) / 1
LCM(1841,1849) = 3404009 / 1
LCM(1841,1849) = 3404009

Properties of LCM 1841 and 1849

(i) The LCM of 1849 and 1841 is associative

LCM of 1841 and 1849 = LCM of 1849 and 1841

Related Least Common Multiples of 1841

Related Least Common Multiples of 1849

Frequently Asked Questions on LCM of 1841 and 1849

1. What is the LCM of 1841 and 1849?

Answer: LCM of 1841 and 1849 is 3404009.

2. What are the Factors of 1841?

Answer: Factors of 1841 are 1, 7, 263, 1841. There are 4 integers that are factors of 1841. The greatest factor of 1841 is 1841.

3. What are the Factors of 1849?

Answer: Factors of 1849 are 1, 43, 1849. There are 3 integers that are factors of 1849. The greatest factor of 1849 is 1849.

4. How to Find the LCM of 1841 and 1849?

Answer:

Least Common Multiple of 1841 and 1849 = 3404009

Step 1: Find the prime factorization of 1841

1841 = 7 x 263

Step 2: Find the prime factorization of 1849

1849 = 43 x 43

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

LCM = 3404009 = 7 x 43 x 43 x 263

Step 4: Therefore, the least common multiple of 1841 and 1849 is 3404009.