Least Common Multiple of 1821 and 1826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1821 and 1826 the smallest integer that is 3325146 that is divisible by both numbers.

Least Common Multiple (LCM) of 1821 and 1826 is 3325146.

LCM(1821,1826) = 3325146

LCM of 1821 and 1826

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

LCM of:
and

Least Common Multiple of 1821 and 1826

LCM of 1821 and 1826 is 3325146

Least common multiple can be found by multiplying the highest exponent prime factors of 1821 and 1826. First we will calculate the prime factors of 1821 and 1826.

Prime Factorization of 1821


3 1821
607 607
1

Prime factors of 1821 are 3,607. Prime factorization of 1821 in exponential form is:

1821 = 31×6071

Prime Factorization of 1826


2 1826
11 913
83 83
1

Prime factors of 1826 are 2, 11,83. Prime factorization of 1826 in exponential form is:

1826 = 21×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1821 and 1826.

LCM(1821,1826) = 21×31×111×831×6071
LCM(1821,1826) = 3325146

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1, 3, 607, 1821

Factors of 1826

List of positive integer factors of 1826 that divides 1826 without a remainder.

1, 2, 11, 22, 83, 166, 913, 1826

Least Common Multiple of 1821 and 1826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1821 and 1826, than apply into the LCM equation.

GCF(1821,1826) = 1
LCM(1821,1826) = ( 1821 × 1826) / 1
LCM(1821,1826) = 3325146 / 1
LCM(1821,1826) = 3325146

Properties of LCM 1821 and 1826

(i) The LCM of 1826 and 1821 is associative

LCM of 1821 and 1826 = LCM of 1826 and 1821

Related Least Common Multiples of 1821

Related Least Common Multiples of 1826

Frequently Asked Questions on LCM of 1821 and 1826

1. What is the LCM of 1821 and 1826?

Answer: LCM of 1821 and 1826 is 3325146.

2. What are the Factors of 1821?

Answer: Factors of 1821 are 1, 3, 607, 1821. There are 4 integers that are factors of 1821. The greatest factor of 1821 is 1821.

3. What are the Factors of 1826?

Answer: Factors of 1826 are 1, 2, 11, 22, 83, 166, 913, 1826. There are 8 integers that are factors of 1826. The greatest factor of 1826 is 1826.

4. How to Find the LCM of 1821 and 1826?

Answer:

Least Common Multiple of 1821 and 1826 = 3325146

Step 1: Find the prime factorization of 1821

1821 = 3 x 607

Step 2: Find the prime factorization of 1826

1826 = 2 x 11 x 83

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

LCM = 3325146 = 2 x 3 x 11 x 83 x 607

Step 4: Therefore, the least common multiple of 1821 and 1826 is 3325146.