Least Common Multiple of 7828 and 7836

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 7836 the smallest integer that is 15335052 that is divisible by both numbers.

Least Common Multiple (LCM) of 7828 and 7836 is 15335052.

LCM(7828,7836) = 15335052

LCM of 7828 and 7836

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

LCM of:
and

Least Common Multiple of 7828 and 7836

LCM of 7828 and 7836 is 15335052

Least common multiple can be found by multiplying the highest exponent prime factors of 7828 and 7836. First we will calculate the prime factors of 7828 and 7836.

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 7836


2 7836
2 3918
3 1959
653 653
1

Prime factors of 7836 are 2, 3,653. Prime factorization of 7836 in exponential form is:

7836 = 22×31×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 7828 and 7836.

LCM(7828,7836) = 22×31×191×1031×6531
LCM(7828,7836) = 15335052

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 7836

List of positive integer factors of 7836 that divides 7836 without a remainder.

1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836

Least Common Multiple of 7828 and 7836 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 7836, than apply into the LCM equation.

GCF(7828,7836) = 4
LCM(7828,7836) = ( 7828 × 7836) / 4
LCM(7828,7836) = 61340208 / 4
LCM(7828,7836) = 15335052

Properties of LCM 7828 and 7836

(i) The LCM of 7836 and 7828 is associative

LCM of 7828 and 7836 = LCM of 7836 and 7828

Related Least Common Multiples of 7828

Related Least Common Multiples of 7836

Frequently Asked Questions on LCM of 7828 and 7836

1. What is the LCM of 7828 and 7836?

Answer: LCM of 7828 and 7836 is 15335052.

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 7836?

Answer: Factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836. There are 12 integers that are factors of 7836. The greatest factor of 7836 is 7836.

4. How to Find the LCM of 7828 and 7836?

Answer:

Least Common Multiple of 7828 and 7836 = 15335052

Step 1: Find the prime factorization of 7828

7828 = 2 x 2 x 19 x 103

Step 2: Find the prime factorization of 7836

7836 = 2 x 2 x 3 x 653

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

LCM = 15335052 = 2 x 2 x 3 x 19 x 103 x 653

Step 4: Therefore, the least common multiple of 7828 and 7836 is 15335052.