Least Common Multiple of 1821 and 1827

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 1827 the smallest integer that is 1108989 that is divisible by both numbers.

Least Common Multiple (LCM) of 1821 and 1827 is 1108989.

LCM(1821,1827) = 1108989

LCM of 1821 and 1827

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

LCM of:
and

Least Common Multiple of 1821 and 1827

LCM of 1821 and 1827 is 1108989

Least common multiple can be found by multiplying the highest exponent prime factors of 1821 and 1827. First we will calculate the prime factors of 1821 and 1827.

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 1827


3 1827
3 609
7 203
29 29
1

Prime factors of 1827 are 3, 7,29. Prime factorization of 1827 in exponential form is:

1827 = 32×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1821 and 1827.

LCM(1821,1827) = 32×71×291×6071
LCM(1821,1827) = 1108989

Factors of 1821

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

1, 3, 607, 1821

Factors of 1827

List of positive integer factors of 1827 that divides 1827 without a remainder.

1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827

Least Common Multiple of 1821 and 1827 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 1827, than apply into the LCM equation.

GCF(1821,1827) = 3
LCM(1821,1827) = ( 1821 × 1827) / 3
LCM(1821,1827) = 3326967 / 3
LCM(1821,1827) = 1108989

Properties of LCM 1821 and 1827

(i) The LCM of 1827 and 1821 is associative

LCM of 1821 and 1827 = LCM of 1827 and 1821

Related Least Common Multiples of 1821

Related Least Common Multiples of 1827

Frequently Asked Questions on LCM of 1821 and 1827

1. What is the LCM of 1821 and 1827?

Answer: LCM of 1821 and 1827 is 1108989.

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 1827?

Answer: Factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827. There are 12 integers that are factors of 1827. The greatest factor of 1827 is 1827.

4. How to Find the LCM of 1821 and 1827?

Answer:

Least Common Multiple of 1821 and 1827 = 1108989

Step 1: Find the prime factorization of 1821

1821 = 3 x 607

Step 2: Find the prime factorization of 1827

1827 = 3 x 3 x 7 x 29

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

LCM = 1108989 = 3 x 3 x 7 x 29 x 607

Step 4: Therefore, the least common multiple of 1821 and 1827 is 1108989.