Least Common Multiple of 1837 and 1842

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 1842 the smallest integer that is 3383754 that is divisible by both numbers.

Least Common Multiple (LCM) of 1837 and 1842 is 3383754.

LCM(1837,1842) = 3383754

LCM of 1837 and 1842

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

LCM of:
and

Least Common Multiple of 1837 and 1842

LCM of 1837 and 1842 is 3383754

Least common multiple can be found by multiplying the highest exponent prime factors of 1837 and 1842. First we will calculate the prime factors of 1837 and 1842.

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 1842


2 1842
3 921
307 307
1

Prime factors of 1842 are 2, 3,307. Prime factorization of 1842 in exponential form is:

1842 = 21×31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 1837 and 1842.

LCM(1837,1842) = 21×31×111×1671×3071
LCM(1837,1842) = 3383754

Factors of 1837

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

1, 11, 167, 1837

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1, 2, 3, 6, 307, 614, 921, 1842

Least Common Multiple of 1837 and 1842 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 1842, than apply into the LCM equation.

GCF(1837,1842) = 1
LCM(1837,1842) = ( 1837 × 1842) / 1
LCM(1837,1842) = 3383754 / 1
LCM(1837,1842) = 3383754

Properties of LCM 1837 and 1842

(i) The LCM of 1842 and 1837 is associative

LCM of 1837 and 1842 = LCM of 1842 and 1837

Related Least Common Multiples of 1837

Related Least Common Multiples of 1842

Frequently Asked Questions on LCM of 1837 and 1842

1. What is the LCM of 1837 and 1842?

Answer: LCM of 1837 and 1842 is 3383754.

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 1842?

Answer: Factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842. There are 8 integers that are factors of 1842. The greatest factor of 1842 is 1842.

4. How to Find the LCM of 1837 and 1842?

Answer:

Least Common Multiple of 1837 and 1842 = 3383754

Step 1: Find the prime factorization of 1837

1837 = 11 x 167

Step 2: Find the prime factorization of 1842

1842 = 2 x 3 x 307

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

LCM = 3383754 = 2 x 3 x 11 x 167 x 307

Step 4: Therefore, the least common multiple of 1837 and 1842 is 3383754.