Least Common Multiple of 7820 and 7824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7820 and 7824 the smallest integer that is 15295920 that is divisible by both numbers.

Least Common Multiple (LCM) of 7820 and 7824 is 15295920.

LCM(7820,7824) = 15295920

LCM of 7820 and 7824

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

LCM of:
and

Least Common Multiple of 7820 and 7824

LCM of 7820 and 7824 is 15295920

Least common multiple can be found by multiplying the highest exponent prime factors of 7820 and 7824. First we will calculate the prime factors of 7820 and 7824.

Prime Factorization of 7820


2 7820
2 3910
5 1955
17 391
23 23
1

Prime factors of 7820 are 2, 5, 17,23. Prime factorization of 7820 in exponential form is:

7820 = 22×51×171×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7820 and 7824.

LCM(7820,7824) = 24×31×51×171×231×1631
LCM(7820,7824) = 15295920

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820

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

Least Common Multiple of 7820 and 7824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7820 and 7824, than apply into the LCM equation.

GCF(7820,7824) = 4
LCM(7820,7824) = ( 7820 × 7824) / 4
LCM(7820,7824) = 61183680 / 4
LCM(7820,7824) = 15295920

Properties of LCM 7820 and 7824

(i) The LCM of 7824 and 7820 is associative

LCM of 7820 and 7824 = LCM of 7824 and 7820

Related Least Common Multiples of 7820

Related Least Common Multiples of 7824

Frequently Asked Questions on LCM of 7820 and 7824

1. What is the LCM of 7820 and 7824?

Answer: LCM of 7820 and 7824 is 15295920.

2. What are the Factors of 7820?

Answer: Factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820. There are 24 integers that are factors of 7820. The greatest factor of 7820 is 7820.

3. 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.

4. How to Find the LCM of 7820 and 7824?

Answer:

Least Common Multiple of 7820 and 7824 = 15295920

Step 1: Find the prime factorization of 7820

7820 = 2 x 2 x 5 x 17 x 23

Step 2: Find the prime factorization of 7824

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

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

LCM = 15295920 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 23 x 163

Step 4: Therefore, the least common multiple of 7820 and 7824 is 15295920.