Least Common Multiple of 1814 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 1814 and 1818 the smallest integer that is 1648926 that is divisible by both numbers.

Least Common Multiple (LCM) of 1814 and 1818 is 1648926.

LCM(1814,1818) = 1648926

LCM of 1814 and 1818

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

LCM of:
and

Least Common Multiple of 1814 and 1818

LCM of 1814 and 1818 is 1648926

Least common multiple can be found by multiplying the highest exponent prime factors of 1814 and 1818. First we will calculate the prime factors of 1814 and 1818.

Prime Factorization of 1814


2 1814
907 907
1

Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:

1814 = 21×9071

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 1814 and 1818.

LCM(1814,1818) = 21×32×1011×9071
LCM(1814,1818) = 1648926

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1, 2, 907, 1814

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 1814 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 1814 and 1818, than apply into the LCM equation.

GCF(1814,1818) = 2
LCM(1814,1818) = ( 1814 × 1818) / 2
LCM(1814,1818) = 3297852 / 2
LCM(1814,1818) = 1648926

Properties of LCM 1814 and 1818

(i) The LCM of 1818 and 1814 is associative

LCM of 1814 and 1818 = LCM of 1818 and 1814

Related Least Common Multiples of 1814

Related Least Common Multiples of 1818

Frequently Asked Questions on LCM of 1814 and 1818

1. What is the LCM of 1814 and 1818?

Answer: LCM of 1814 and 1818 is 1648926.

2. What are the Factors of 1814?

Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.

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 1814 and 1818?

Answer:

Least Common Multiple of 1814 and 1818 = 1648926

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

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 = 1648926 = 2 x 3 x 3 x 101 x 907

Step 4: Therefore, the least common multiple of 1814 and 1818 is 1648926.