Least Common Multiple of 1831 and 1837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1831 and 1837 the smallest integer that is 3363547 that is divisible by both numbers.

Least Common Multiple (LCM) of 1831 and 1837 is 3363547.

LCM(1831,1837) = 3363547

LCM of 1831 and 1837

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

LCM of:
and

Least Common Multiple of 1831 and 1837

LCM of 1831 and 1837 is 3363547

Least common multiple can be found by multiplying the highest exponent prime factors of 1831 and 1837. First we will calculate the prime factors of 1831 and 1837.

Prime Factorization of 1831


1831 1831
1

Prime factors of 1831 are 1831. Prime factorization of 1831 in exponential form is:

1831 = 18311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1831 and 1837.

LCM(1831,1837) = 111×1671×18311
LCM(1831,1837) = 3363547

Factors of 1831

List of positive integer factors of 1831 that divides 1831 without a remainder.

1, 1831

Factors of 1837

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

1, 11, 167, 1837

Least Common Multiple of 1831 and 1837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1831 and 1837, than apply into the LCM equation.

GCF(1831,1837) = 1
LCM(1831,1837) = ( 1831 × 1837) / 1
LCM(1831,1837) = 3363547 / 1
LCM(1831,1837) = 3363547

Properties of LCM 1831 and 1837

(i) The LCM of 1837 and 1831 is associative

LCM of 1831 and 1837 = LCM of 1837 and 1831

Related Least Common Multiples of 1831

Related Least Common Multiples of 1837

Frequently Asked Questions on LCM of 1831 and 1837

1. What is the LCM of 1831 and 1837?

Answer: LCM of 1831 and 1837 is 3363547.

2. What are the Factors of 1831?

Answer: Factors of 1831 are 1, 1831. There are 2 integers that are factors of 1831. The greatest factor of 1831 is 1831.

3. 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.

4. How to Find the LCM of 1831 and 1837?

Answer:

Least Common Multiple of 1831 and 1837 = 3363547

Step 1: Find the prime factorization of 1831

1831 = 1831

Step 2: Find the prime factorization of 1837

1837 = 11 x 167

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

LCM = 3363547 = 11 x 167 x 1831

Step 4: Therefore, the least common multiple of 1831 and 1837 is 3363547.