Least Common Multiple of 1818 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 1818 and 1826 the smallest integer that is 1659834 that is divisible by both numbers.

Least Common Multiple (LCM) of 1818 and 1826 is 1659834.

LCM(1818,1826) = 1659834

LCM of 1818 and 1826

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

LCM of:
and

Least Common Multiple of 1818 and 1826

LCM of 1818 and 1826 is 1659834

Least common multiple can be found by multiplying the highest exponent prime factors of 1818 and 1826. First we will calculate the prime factors of 1818 and 1826.

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

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 1818 and 1826.

LCM(1818,1826) = 21×32×111×831×1011
LCM(1818,1826) = 1659834

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

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 1818 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 1818 and 1826, than apply into the LCM equation.

GCF(1818,1826) = 2
LCM(1818,1826) = ( 1818 × 1826) / 2
LCM(1818,1826) = 3319668 / 2
LCM(1818,1826) = 1659834

Properties of LCM 1818 and 1826

(i) The LCM of 1826 and 1818 is associative

LCM of 1818 and 1826 = LCM of 1826 and 1818

Related Least Common Multiples of 1818

Related Least Common Multiples of 1826

Frequently Asked Questions on LCM of 1818 and 1826

1. What is the LCM of 1818 and 1826?

Answer: LCM of 1818 and 1826 is 1659834.

2. 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.

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 1818 and 1826?

Answer:

Least Common Multiple of 1818 and 1826 = 1659834

Step 1: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

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 = 1659834 = 2 x 3 x 3 x 11 x 83 x 101

Step 4: Therefore, the least common multiple of 1818 and 1826 is 1659834.