Least Common Multiple of 1810 and 1816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1810 and 1816 the smallest integer that is 1643480 that is divisible by both numbers.

Least Common Multiple (LCM) of 1810 and 1816 is 1643480.

LCM(1810,1816) = 1643480

LCM of 1810 and 1816

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

LCM of:
and

Least Common Multiple of 1810 and 1816

LCM of 1810 and 1816 is 1643480

Least common multiple can be found by multiplying the highest exponent prime factors of 1810 and 1816. First we will calculate the prime factors of 1810 and 1816.

Prime Factorization of 1810


2 1810
5 905
181 181
1

Prime factors of 1810 are 2, 5,181. Prime factorization of 1810 in exponential form is:

1810 = 21×51×1811

Prime Factorization of 1816


2 1816
2 908
2 454
227 227
1

Prime factors of 1816 are 2,227. Prime factorization of 1816 in exponential form is:

1816 = 23×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1810 and 1816.

LCM(1810,1816) = 23×51×1811×2271
LCM(1810,1816) = 1643480

Factors of 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1, 2, 5, 10, 181, 362, 905, 1810

Factors of 1816

List of positive integer factors of 1816 that divides 1816 without a remainder.

1, 2, 4, 8, 227, 454, 908, 1816

Least Common Multiple of 1810 and 1816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1810 and 1816, than apply into the LCM equation.

GCF(1810,1816) = 2
LCM(1810,1816) = ( 1810 × 1816) / 2
LCM(1810,1816) = 3286960 / 2
LCM(1810,1816) = 1643480

Properties of LCM 1810 and 1816

(i) The LCM of 1816 and 1810 is associative

LCM of 1810 and 1816 = LCM of 1816 and 1810

Related Least Common Multiples of 1810

Related Least Common Multiples of 1816

Frequently Asked Questions on LCM of 1810 and 1816

1. What is the LCM of 1810 and 1816?

Answer: LCM of 1810 and 1816 is 1643480.

2. What are the Factors of 1810?

Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.

3. What are the Factors of 1816?

Answer: Factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816. There are 8 integers that are factors of 1816. The greatest factor of 1816 is 1816.

4. How to Find the LCM of 1810 and 1816?

Answer:

Least Common Multiple of 1810 and 1816 = 1643480

Step 1: Find the prime factorization of 1810

1810 = 2 x 5 x 181

Step 2: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

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

LCM = 1643480 = 2 x 2 x 2 x 5 x 181 x 227

Step 4: Therefore, the least common multiple of 1810 and 1816 is 1643480.