Least Common Multiple of 1824 and 1831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1824 and 1831 the smallest integer that is 3339744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1824 and 1831 is 3339744.

LCM(1824,1831) = 3339744

LCM of 1824 and 1831

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

LCM of:
and

Least Common Multiple of 1824 and 1831

LCM of 1824 and 1831 is 3339744

Least common multiple can be found by multiplying the highest exponent prime factors of 1824 and 1831. First we will calculate the prime factors of 1824 and 1831.

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

Prime Factorization of 1831


1831 1831
1

Prime factors of 1831 are 1831. Prime factorization of 1831 in exponential form is:

1831 = 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 1824 and 1831.

LCM(1824,1831) = 25×31×191×18311
LCM(1824,1831) = 3339744

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

Factors of 1831

List of positive integer factors of 1831 that divides 1831 without a remainder.

1, 1831

Least Common Multiple of 1824 and 1831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1824 and 1831, than apply into the LCM equation.

GCF(1824,1831) = 1
LCM(1824,1831) = ( 1824 × 1831) / 1
LCM(1824,1831) = 3339744 / 1
LCM(1824,1831) = 3339744

Properties of LCM 1824 and 1831

(i) The LCM of 1831 and 1824 is associative

LCM of 1824 and 1831 = LCM of 1831 and 1824

Related Least Common Multiples of 1824

Related Least Common Multiples of 1831

Frequently Asked Questions on LCM of 1824 and 1831

1. What is the LCM of 1824 and 1831?

Answer: LCM of 1824 and 1831 is 3339744.

2. 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.

3. What are the Factors of 1831?

Answer: Factors of 1831 are 1, 1831. There are 2 integers that are factors of 1831. The greatest factor of 1831 is 1831.

4. How to Find the LCM of 1824 and 1831?

Answer:

Least Common Multiple of 1824 and 1831 = 3339744

Step 1: Find the prime factorization of 1824

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

Step 2: Find the prime factorization of 1831

1831 = 1831

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

LCM = 3339744 = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 1831

Step 4: Therefore, the least common multiple of 1824 and 1831 is 3339744.