Least Common Multiple of 1837 and 1841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1837 and 1841 the smallest integer that is 3381917 that is divisible by both numbers.

Least Common Multiple (LCM) of 1837 and 1841 is 3381917.

LCM(1837,1841) = 3381917

LCM of 1837 and 1841

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

LCM of:
and

Least Common Multiple of 1837 and 1841

LCM of 1837 and 1841 is 3381917

Least common multiple can be found by multiplying the highest exponent prime factors of 1837 and 1841. First we will calculate the prime factors of 1837 and 1841.

Prime Factorization of 1837


11 1837
167 167
1

Prime factors of 1837 are 11,167. Prime factorization of 1837 in exponential form is:

1837 = 111×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1837 and 1841.

LCM(1837,1841) = 71×111×1671×2631
LCM(1837,1841) = 3381917

Factors of 1837

List of positive integer factors of 1837 that divides 1837 without a remainder.

1, 11, 167, 1837

Factors of 1841

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

1, 7, 263, 1841

Least Common Multiple of 1837 and 1841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1837 and 1841, than apply into the LCM equation.

GCF(1837,1841) = 1
LCM(1837,1841) = ( 1837 × 1841) / 1
LCM(1837,1841) = 3381917 / 1
LCM(1837,1841) = 3381917

Properties of LCM 1837 and 1841

(i) The LCM of 1841 and 1837 is associative

LCM of 1837 and 1841 = LCM of 1841 and 1837

Related Least Common Multiples of 1837

Related Least Common Multiples of 1841

Frequently Asked Questions on LCM of 1837 and 1841

1. What is the LCM of 1837 and 1841?

Answer: LCM of 1837 and 1841 is 3381917.

2. What are the Factors of 1837?

Answer: Factors of 1837 are 1, 11, 167, 1837. There are 4 integers that are factors of 1837. The greatest factor of 1837 is 1837.

3. 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.

4. How to Find the LCM of 1837 and 1841?

Answer:

Least Common Multiple of 1837 and 1841 = 3381917

Step 1: Find the prime factorization of 1837

1837 = 11 x 167

Step 2: Find the prime factorization of 1841

1841 = 7 x 263

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

LCM = 3381917 = 7 x 11 x 167 x 263

Step 4: Therefore, the least common multiple of 1837 and 1841 is 3381917.