Least Common Multiple of 1814 and 1820

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 1820 the smallest integer that is 1650740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1814 and 1820 is 1650740.

LCM(1814,1820) = 1650740

LCM of 1814 and 1820

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

LCM of:
and

Least Common Multiple of 1814 and 1820

LCM of 1814 and 1820 is 1650740

Least common multiple can be found by multiplying the highest exponent prime factors of 1814 and 1820. First we will calculate the prime factors of 1814 and 1820.

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 1820


2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 1820 are 2, 5, 7,13. Prime factorization of 1820 in exponential form is:

1820 = 22×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1814 and 1820.

LCM(1814,1820) = 22×51×71×131×9071
LCM(1814,1820) = 1650740

Factors of 1814

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

1, 2, 907, 1814

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820

Least Common Multiple of 1814 and 1820 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 1820, than apply into the LCM equation.

GCF(1814,1820) = 2
LCM(1814,1820) = ( 1814 × 1820) / 2
LCM(1814,1820) = 3301480 / 2
LCM(1814,1820) = 1650740

Properties of LCM 1814 and 1820

(i) The LCM of 1820 and 1814 is associative

LCM of 1814 and 1820 = LCM of 1820 and 1814

Related Least Common Multiples of 1814

Related Least Common Multiples of 1820

Frequently Asked Questions on LCM of 1814 and 1820

1. What is the LCM of 1814 and 1820?

Answer: LCM of 1814 and 1820 is 1650740.

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 1820?

Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.

4. How to Find the LCM of 1814 and 1820?

Answer:

Least Common Multiple of 1814 and 1820 = 1650740

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

Step 2: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

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

LCM = 1650740 = 2 x 2 x 5 x 7 x 13 x 907

Step 4: Therefore, the least common multiple of 1814 and 1820 is 1650740.