Least Common Multiple of 1836 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 1836 and 1842 the smallest integer that is 563652 that is divisible by both numbers.

Least Common Multiple (LCM) of 1836 and 1842 is 563652.

LCM(1836,1842) = 563652

LCM of 1836 and 1842

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

LCM of:
and

Least Common Multiple of 1836 and 1842

LCM of 1836 and 1842 is 563652

Least common multiple can be found by multiplying the highest exponent prime factors of 1836 and 1842. First we will calculate the prime factors of 1836 and 1842.

Prime Factorization of 1836


2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 1836 are 2, 3,17. Prime factorization of 1836 in exponential form is:

1836 = 22×33×171

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 1836 and 1842.

LCM(1836,1842) = 22×33×171×3071
LCM(1836,1842) = 563652

Factors of 1836

List of positive integer factors of 1836 that divides 1836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836

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 1836 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 1836 and 1842, than apply into the LCM equation.

GCF(1836,1842) = 6
LCM(1836,1842) = ( 1836 × 1842) / 6
LCM(1836,1842) = 3381912 / 6
LCM(1836,1842) = 563652

Properties of LCM 1836 and 1842

(i) The LCM of 1842 and 1836 is associative

LCM of 1836 and 1842 = LCM of 1842 and 1836

Related Least Common Multiples of 1836

Related Least Common Multiples of 1842

Frequently Asked Questions on LCM of 1836 and 1842

1. What is the LCM of 1836 and 1842?

Answer: LCM of 1836 and 1842 is 563652.

2. What are the Factors of 1836?

Answer: Factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836. There are 24 integers that are factors of 1836. The greatest factor of 1836 is 1836.

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 1836 and 1842?

Answer:

Least Common Multiple of 1836 and 1842 = 563652

Step 1: Find the prime factorization of 1836

1836 = 2 x 2 x 3 x 3 x 3 x 17

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 = 563652 = 2 x 2 x 3 x 3 x 3 x 17 x 307

Step 4: Therefore, the least common multiple of 1836 and 1842 is 563652.