Least Common Multiple of 7828 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 7828 and 7832 the smallest integer that is 15327224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7828 and 7832 is 15327224.

LCM(7828,7832) = 15327224

LCM of 7828 and 7832

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

LCM of:
and

Least Common Multiple of 7828 and 7832

LCM of 7828 and 7832 is 15327224

Least common multiple can be found by multiplying the highest exponent prime factors of 7828 and 7832. First we will calculate the prime factors of 7828 and 7832.

Prime Factorization of 7828


2 7828
2 3914
19 1957
103 103
1

Prime factors of 7828 are 2, 19,103. Prime factorization of 7828 in exponential form is:

7828 = 22×191×1031

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 7828 and 7832.

LCM(7828,7832) = 23×111×191×891×1031
LCM(7828,7832) = 15327224

Factors of 7828

List of positive integer factors of 7828 that divides 7828 without a remainder.

1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, 7828

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 7828 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 7828 and 7832, than apply into the LCM equation.

GCF(7828,7832) = 4
LCM(7828,7832) = ( 7828 × 7832) / 4
LCM(7828,7832) = 61308896 / 4
LCM(7828,7832) = 15327224

Properties of LCM 7828 and 7832

(i) The LCM of 7832 and 7828 is associative

LCM of 7828 and 7832 = LCM of 7832 and 7828

Related Least Common Multiples of 7828

Related Least Common Multiples of 7832

Frequently Asked Questions on LCM of 7828 and 7832

1. What is the LCM of 7828 and 7832?

Answer: LCM of 7828 and 7832 is 15327224.

2. What are the Factors of 7828?

Answer: Factors of 7828 are 1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, 7828. There are 12 integers that are factors of 7828. The greatest factor of 7828 is 7828.

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 7828 and 7832?

Answer:

Least Common Multiple of 7828 and 7832 = 15327224

Step 1: Find the prime factorization of 7828

7828 = 2 x 2 x 19 x 103

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 = 15327224 = 2 x 2 x 2 x 11 x 19 x 89 x 103

Step 4: Therefore, the least common multiple of 7828 and 7832 is 15327224.