Least Common Multiple of 7824 and 7831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7824 and 7831 the smallest integer that is 61269744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7824 and 7831 is 61269744.

LCM(7824,7831) = 61269744

LCM of 7824 and 7831

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

LCM of:
and

Least Common Multiple of 7824 and 7831

LCM of 7824 and 7831 is 61269744

Least common multiple can be found by multiplying the highest exponent prime factors of 7824 and 7831. First we will calculate the prime factors of 7824 and 7831.

Prime Factorization of 7824


2 7824
2 3912
2 1956
2 978
3 489
163 163
1

Prime factors of 7824 are 2, 3,163. Prime factorization of 7824 in exponential form is:

7824 = 24×31×1631

Prime Factorization of 7831


41 7831
191 191
1

Prime factors of 7831 are 41,191. Prime factorization of 7831 in exponential form is:

7831 = 411×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7824 and 7831.

LCM(7824,7831) = 24×31×411×1631×1911
LCM(7824,7831) = 61269744

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824

Factors of 7831

List of positive integer factors of 7831 that divides 7831 without a remainder.

1, 41, 191, 7831

Least Common Multiple of 7824 and 7831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7824 and 7831, than apply into the LCM equation.

GCF(7824,7831) = 1
LCM(7824,7831) = ( 7824 × 7831) / 1
LCM(7824,7831) = 61269744 / 1
LCM(7824,7831) = 61269744

Properties of LCM 7824 and 7831

(i) The LCM of 7831 and 7824 is associative

LCM of 7824 and 7831 = LCM of 7831 and 7824

Related Least Common Multiples of 7824

Related Least Common Multiples of 7831

Frequently Asked Questions on LCM of 7824 and 7831

1. What is the LCM of 7824 and 7831?

Answer: LCM of 7824 and 7831 is 61269744.

2. What are the Factors of 7824?

Answer: Factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824. There are 20 integers that are factors of 7824. The greatest factor of 7824 is 7824.

3. What are the Factors of 7831?

Answer: Factors of 7831 are 1, 41, 191, 7831. There are 4 integers that are factors of 7831. The greatest factor of 7831 is 7831.

4. How to Find the LCM of 7824 and 7831?

Answer:

Least Common Multiple of 7824 and 7831 = 61269744

Step 1: Find the prime factorization of 7824

7824 = 2 x 2 x 2 x 2 x 3 x 163

Step 2: Find the prime factorization of 7831

7831 = 41 x 191

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

LCM = 61269744 = 2 x 2 x 2 x 2 x 3 x 41 x 163 x 191

Step 4: Therefore, the least common multiple of 7824 and 7831 is 61269744.