Least Common Multiple of 1817 and 1823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1817 and 1823 the smallest integer that is 3312391 that is divisible by both numbers.

Least Common Multiple (LCM) of 1817 and 1823 is 3312391.

LCM(1817,1823) = 3312391

LCM of 1817 and 1823

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

LCM of:
and

Least Common Multiple of 1817 and 1823

LCM of 1817 and 1823 is 3312391

Least common multiple can be found by multiplying the highest exponent prime factors of 1817 and 1823. First we will calculate the prime factors of 1817 and 1823.

Prime Factorization of 1817


23 1817
79 79
1

Prime factors of 1817 are 23,79. Prime factorization of 1817 in exponential form is:

1817 = 231×791

Prime Factorization of 1823


1823 1823
1

Prime factors of 1823 are 1823. Prime factorization of 1823 in exponential form is:

1823 = 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 1817 and 1823.

LCM(1817,1823) = 231×791×18231
LCM(1817,1823) = 3312391

Factors of 1817

List of positive integer factors of 1817 that divides 1817 without a remainder.

1, 23, 79, 1817

Factors of 1823

List of positive integer factors of 1823 that divides 1823 without a remainder.

1, 1823

Least Common Multiple of 1817 and 1823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1817 and 1823, than apply into the LCM equation.

GCF(1817,1823) = 1
LCM(1817,1823) = ( 1817 × 1823) / 1
LCM(1817,1823) = 3312391 / 1
LCM(1817,1823) = 3312391

Properties of LCM 1817 and 1823

(i) The LCM of 1823 and 1817 is associative

LCM of 1817 and 1823 = LCM of 1823 and 1817

Related Least Common Multiples of 1817

Related Least Common Multiples of 1823

Frequently Asked Questions on LCM of 1817 and 1823

1. What is the LCM of 1817 and 1823?

Answer: LCM of 1817 and 1823 is 3312391.

2. What are the Factors of 1817?

Answer: Factors of 1817 are 1, 23, 79, 1817. There are 4 integers that are factors of 1817. The greatest factor of 1817 is 1817.

3. What are the Factors of 1823?

Answer: Factors of 1823 are 1, 1823. There are 2 integers that are factors of 1823. The greatest factor of 1823 is 1823.

4. How to Find the LCM of 1817 and 1823?

Answer:

Least Common Multiple of 1817 and 1823 = 3312391

Step 1: Find the prime factorization of 1817

1817 = 23 x 79

Step 2: Find the prime factorization of 1823

1823 = 1823

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

LCM = 3312391 = 23 x 79 x 1823

Step 4: Therefore, the least common multiple of 1817 and 1823 is 3312391.