Least Common Multiple of 1814 and 1822

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 1822 the smallest integer that is 1652554 that is divisible by both numbers.

Least Common Multiple (LCM) of 1814 and 1822 is 1652554.

LCM(1814,1822) = 1652554

LCM of 1814 and 1822

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

LCM of:
and

Least Common Multiple of 1814 and 1822

LCM of 1814 and 1822 is 1652554

Least common multiple can be found by multiplying the highest exponent prime factors of 1814 and 1822. First we will calculate the prime factors of 1814 and 1822.

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 1822


2 1822
911 911
1

Prime factors of 1822 are 2,911. Prime factorization of 1822 in exponential form is:

1822 = 21×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 1814 and 1822.

LCM(1814,1822) = 21×9071×9111
LCM(1814,1822) = 1652554

Factors of 1814

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

1, 2, 907, 1814

Factors of 1822

List of positive integer factors of 1822 that divides 1822 without a remainder.

1, 2, 911, 1822

Least Common Multiple of 1814 and 1822 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 1822, than apply into the LCM equation.

GCF(1814,1822) = 2
LCM(1814,1822) = ( 1814 × 1822) / 2
LCM(1814,1822) = 3305108 / 2
LCM(1814,1822) = 1652554

Properties of LCM 1814 and 1822

(i) The LCM of 1822 and 1814 is associative

LCM of 1814 and 1822 = LCM of 1822 and 1814

Related Least Common Multiples of 1814

Related Least Common Multiples of 1822

Frequently Asked Questions on LCM of 1814 and 1822

1. What is the LCM of 1814 and 1822?

Answer: LCM of 1814 and 1822 is 1652554.

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 1822?

Answer: Factors of 1822 are 1, 2, 911, 1822. There are 4 integers that are factors of 1822. The greatest factor of 1822 is 1822.

4. How to Find the LCM of 1814 and 1822?

Answer:

Least Common Multiple of 1814 and 1822 = 1652554

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

Step 2: Find the prime factorization of 1822

1822 = 2 x 911

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

LCM = 1652554 = 2 x 907 x 911

Step 4: Therefore, the least common multiple of 1814 and 1822 is 1652554.