Least Common Multiple of 1816 and 1824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1816 and 1824 the smallest integer that is 414048 that is divisible by both numbers.

Least Common Multiple (LCM) of 1816 and 1824 is 414048.

LCM(1816,1824) = 414048

LCM of 1816 and 1824

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

LCM of:
and

Least Common Multiple of 1816 and 1824

LCM of 1816 and 1824 is 414048

Least common multiple can be found by multiplying the highest exponent prime factors of 1816 and 1824. First we will calculate the prime factors of 1816 and 1824.

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

Prime Factorization of 1824


2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 1824 are 2, 3,19. Prime factorization of 1824 in exponential form is:

1824 = 25×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1816 and 1824.

LCM(1816,1824) = 25×31×191×2271
LCM(1816,1824) = 414048

Factors of 1816

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

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

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824

Least Common Multiple of 1816 and 1824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1816 and 1824, than apply into the LCM equation.

GCF(1816,1824) = 8
LCM(1816,1824) = ( 1816 × 1824) / 8
LCM(1816,1824) = 3312384 / 8
LCM(1816,1824) = 414048

Properties of LCM 1816 and 1824

(i) The LCM of 1824 and 1816 is associative

LCM of 1816 and 1824 = LCM of 1824 and 1816

Related Least Common Multiples of 1816

Related Least Common Multiples of 1824

Frequently Asked Questions on LCM of 1816 and 1824

1. What is the LCM of 1816 and 1824?

Answer: LCM of 1816 and 1824 is 414048.

2. 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.

3. What are the Factors of 1824?

Answer: Factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824. There are 24 integers that are factors of 1824. The greatest factor of 1824 is 1824.

4. How to Find the LCM of 1816 and 1824?

Answer:

Least Common Multiple of 1816 and 1824 = 414048

Step 1: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

Step 2: Find the prime factorization of 1824

1824 = 2 x 2 x 2 x 2 x 2 x 3 x 19

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

LCM = 414048 = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 227

Step 4: Therefore, the least common multiple of 1816 and 1824 is 414048.