Least Common Multiple of 7824 and 7832

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 7832 the smallest integer that is 7659696 that is divisible by both numbers.

Least Common Multiple (LCM) of 7824 and 7832 is 7659696.

LCM(7824,7832) = 7659696

LCM of 7824 and 7832

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

LCM of:
and

Least Common Multiple of 7824 and 7832

LCM of 7824 and 7832 is 7659696

Least common multiple can be found by multiplying the highest exponent prime factors of 7824 and 7832. First we will calculate the prime factors of 7824 and 7832.

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 7832


2 7832
2 3916
2 1958
11 979
89 89
1

Prime factors of 7832 are 2, 11,89. Prime factorization of 7832 in exponential form is:

7832 = 23×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7824 and 7832.

LCM(7824,7832) = 24×31×111×891×1631
LCM(7824,7832) = 7659696

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 7832

List of positive integer factors of 7832 that divides 7832 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832

Least Common Multiple of 7824 and 7832 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 7832, than apply into the LCM equation.

GCF(7824,7832) = 8
LCM(7824,7832) = ( 7824 × 7832) / 8
LCM(7824,7832) = 61277568 / 8
LCM(7824,7832) = 7659696

Properties of LCM 7824 and 7832

(i) The LCM of 7832 and 7824 is associative

LCM of 7824 and 7832 = LCM of 7832 and 7824

Related Least Common Multiples of 7824

Related Least Common Multiples of 7832

Frequently Asked Questions on LCM of 7824 and 7832

1. What is the LCM of 7824 and 7832?

Answer: LCM of 7824 and 7832 is 7659696.

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 7832?

Answer: Factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832. There are 16 integers that are factors of 7832. The greatest factor of 7832 is 7832.

4. How to Find the LCM of 7824 and 7832?

Answer:

Least Common Multiple of 7824 and 7832 = 7659696

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 7832

7832 = 2 x 2 x 2 x 11 x 89

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

LCM = 7659696 = 2 x 2 x 2 x 2 x 3 x 11 x 89 x 163

Step 4: Therefore, the least common multiple of 7824 and 7832 is 7659696.