Least Common Multiple of 7820 and 7825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7820 and 7825 the smallest integer that is 12238300 that is divisible by both numbers.

Least Common Multiple (LCM) of 7820 and 7825 is 12238300.

LCM(7820,7825) = 12238300

LCM of 7820 and 7825

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

LCM of:
and

Least Common Multiple of 7820 and 7825

LCM of 7820 and 7825 is 12238300

Least common multiple can be found by multiplying the highest exponent prime factors of 7820 and 7825. First we will calculate the prime factors of 7820 and 7825.

Prime Factorization of 7820


2 7820
2 3910
5 1955
17 391
23 23
1

Prime factors of 7820 are 2, 5, 17,23. Prime factorization of 7820 in exponential form is:

7820 = 22×51×171×231

Prime Factorization of 7825


5 7825
5 1565
313 313
1

Prime factors of 7825 are 5,313. Prime factorization of 7825 in exponential form is:

7825 = 52×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 7820 and 7825.

LCM(7820,7825) = 22×52×171×231×3131
LCM(7820,7825) = 12238300

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820

Factors of 7825

List of positive integer factors of 7825 that divides 7825 without a remainder.

1, 5, 25, 313, 1565, 7825

Least Common Multiple of 7820 and 7825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7820 and 7825, than apply into the LCM equation.

GCF(7820,7825) = 5
LCM(7820,7825) = ( 7820 × 7825) / 5
LCM(7820,7825) = 61191500 / 5
LCM(7820,7825) = 12238300

Properties of LCM 7820 and 7825

(i) The LCM of 7825 and 7820 is associative

LCM of 7820 and 7825 = LCM of 7825 and 7820

Related Least Common Multiples of 7820

Related Least Common Multiples of 7825

Frequently Asked Questions on LCM of 7820 and 7825

1. What is the LCM of 7820 and 7825?

Answer: LCM of 7820 and 7825 is 12238300.

2. What are the Factors of 7820?

Answer: Factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820. There are 24 integers that are factors of 7820. The greatest factor of 7820 is 7820.

3. What are the Factors of 7825?

Answer: Factors of 7825 are 1, 5, 25, 313, 1565, 7825. There are 6 integers that are factors of 7825. The greatest factor of 7825 is 7825.

4. How to Find the LCM of 7820 and 7825?

Answer:

Least Common Multiple of 7820 and 7825 = 12238300

Step 1: Find the prime factorization of 7820

7820 = 2 x 2 x 5 x 17 x 23

Step 2: Find the prime factorization of 7825

7825 = 5 x 5 x 313

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

LCM = 12238300 = 2 x 2 x 5 x 5 x 17 x 23 x 313

Step 4: Therefore, the least common multiple of 7820 and 7825 is 12238300.