Least Common Multiple of 7828 and 7835

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 7835 the smallest integer that is 61332380 that is divisible by both numbers.

Least Common Multiple (LCM) of 7828 and 7835 is 61332380.

LCM(7828,7835) = 61332380

LCM of 7828 and 7835

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

LCM of:
and

Least Common Multiple of 7828 and 7835

LCM of 7828 and 7835 is 61332380

Least common multiple can be found by multiplying the highest exponent prime factors of 7828 and 7835. First we will calculate the prime factors of 7828 and 7835.

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 7835


5 7835
1567 1567
1

Prime factors of 7835 are 5,1567. Prime factorization of 7835 in exponential form is:

7835 = 51×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 7828 and 7835.

LCM(7828,7835) = 22×51×191×1031×15671
LCM(7828,7835) = 61332380

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 7835

List of positive integer factors of 7835 that divides 7835 without a remainder.

1, 5, 1567, 7835

Least Common Multiple of 7828 and 7835 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 7835, than apply into the LCM equation.

GCF(7828,7835) = 1
LCM(7828,7835) = ( 7828 × 7835) / 1
LCM(7828,7835) = 61332380 / 1
LCM(7828,7835) = 61332380

Properties of LCM 7828 and 7835

(i) The LCM of 7835 and 7828 is associative

LCM of 7828 and 7835 = LCM of 7835 and 7828

Related Least Common Multiples of 7828

Related Least Common Multiples of 7835

Frequently Asked Questions on LCM of 7828 and 7835

1. What is the LCM of 7828 and 7835?

Answer: LCM of 7828 and 7835 is 61332380.

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 7835?

Answer: Factors of 7835 are 1, 5, 1567, 7835. There are 4 integers that are factors of 7835. The greatest factor of 7835 is 7835.

4. How to Find the LCM of 7828 and 7835?

Answer:

Least Common Multiple of 7828 and 7835 = 61332380

Step 1: Find the prime factorization of 7828

7828 = 2 x 2 x 19 x 103

Step 2: Find the prime factorization of 7835

7835 = 5 x 1567

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

LCM = 61332380 = 2 x 2 x 5 x 19 x 103 x 1567

Step 4: Therefore, the least common multiple of 7828 and 7835 is 61332380.