Least Common Multiple of 1813 and 1818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1813 and 1818 the smallest integer that is 3296034 that is divisible by both numbers.

Least Common Multiple (LCM) of 1813 and 1818 is 3296034.

LCM(1813,1818) = 3296034

LCM of 1813 and 1818

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

LCM of:
and

Least Common Multiple of 1813 and 1818

LCM of 1813 and 1818 is 3296034

Least common multiple can be found by multiplying the highest exponent prime factors of 1813 and 1818. First we will calculate the prime factors of 1813 and 1818.

Prime Factorization of 1813


7 1813
7 259
37 37
1

Prime factors of 1813 are 7,37. Prime factorization of 1813 in exponential form is:

1813 = 72×371

Prime Factorization of 1818


2 1818
3 909
3 303
101 101
1

Prime factors of 1818 are 2, 3,101. Prime factorization of 1818 in exponential form is:

1818 = 21×32×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1813 and 1818.

LCM(1813,1818) = 21×32×72×371×1011
LCM(1813,1818) = 3296034

Factors of 1813

List of positive integer factors of 1813 that divides 1813 without a remainder.

1, 7, 37, 49, 259, 1813

Factors of 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818

Least Common Multiple of 1813 and 1818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1813 and 1818, than apply into the LCM equation.

GCF(1813,1818) = 1
LCM(1813,1818) = ( 1813 × 1818) / 1
LCM(1813,1818) = 3296034 / 1
LCM(1813,1818) = 3296034

Properties of LCM 1813 and 1818

(i) The LCM of 1818 and 1813 is associative

LCM of 1813 and 1818 = LCM of 1818 and 1813

Related Least Common Multiples of 1813

Related Least Common Multiples of 1818

Frequently Asked Questions on LCM of 1813 and 1818

1. What is the LCM of 1813 and 1818?

Answer: LCM of 1813 and 1818 is 3296034.

2. What are the Factors of 1813?

Answer: Factors of 1813 are 1, 7, 37, 49, 259, 1813. There are 6 integers that are factors of 1813. The greatest factor of 1813 is 1813.

3. What are the Factors of 1818?

Answer: Factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. There are 12 integers that are factors of 1818. The greatest factor of 1818 is 1818.

4. How to Find the LCM of 1813 and 1818?

Answer:

Least Common Multiple of 1813 and 1818 = 3296034

Step 1: Find the prime factorization of 1813

1813 = 7 x 7 x 37

Step 2: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

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

LCM = 3296034 = 2 x 3 x 3 x 7 x 7 x 37 x 101

Step 4: Therefore, the least common multiple of 1813 and 1818 is 3296034.