Least Common Multiple of 7823 and 7828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7823 and 7828 the smallest integer that is 61238444 that is divisible by both numbers.

Least Common Multiple (LCM) of 7823 and 7828 is 61238444.

LCM(7823,7828) = 61238444

LCM of 7823 and 7828

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

LCM of:
and

Least Common Multiple of 7823 and 7828

LCM of 7823 and 7828 is 61238444

Least common multiple can be found by multiplying the highest exponent prime factors of 7823 and 7828. First we will calculate the prime factors of 7823 and 7828.

Prime Factorization of 7823


7823 7823
1

Prime factors of 7823 are 7823. Prime factorization of 7823 in exponential form is:

7823 = 78231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7823 and 7828.

LCM(7823,7828) = 22×191×1031×78231
LCM(7823,7828) = 61238444

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1, 7823

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

Least Common Multiple of 7823 and 7828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7823 and 7828, than apply into the LCM equation.

GCF(7823,7828) = 1
LCM(7823,7828) = ( 7823 × 7828) / 1
LCM(7823,7828) = 61238444 / 1
LCM(7823,7828) = 61238444

Properties of LCM 7823 and 7828

(i) The LCM of 7828 and 7823 is associative

LCM of 7823 and 7828 = LCM of 7828 and 7823

Related Least Common Multiples of 7823

Related Least Common Multiples of 7828

Frequently Asked Questions on LCM of 7823 and 7828

1. What is the LCM of 7823 and 7828?

Answer: LCM of 7823 and 7828 is 61238444.

2. What are the Factors of 7823?

Answer: Factors of 7823 are 1, 7823. There are 2 integers that are factors of 7823. The greatest factor of 7823 is 7823.

3. 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.

4. How to Find the LCM of 7823 and 7828?

Answer:

Least Common Multiple of 7823 and 7828 = 61238444

Step 1: Find the prime factorization of 7823

7823 = 7823

Step 2: Find the prime factorization of 7828

7828 = 2 x 2 x 19 x 103

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

LCM = 61238444 = 2 x 2 x 19 x 103 x 7823

Step 4: Therefore, the least common multiple of 7823 and 7828 is 61238444.