Least Common Multiple of 7825 and 7830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7825 and 7830 the smallest integer that is 12253950 that is divisible by both numbers.

Least Common Multiple (LCM) of 7825 and 7830 is 12253950.

LCM(7825,7830) = 12253950

LCM of 7825 and 7830

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

LCM of:
and

Least Common Multiple of 7825 and 7830

LCM of 7825 and 7830 is 12253950

Least common multiple can be found by multiplying the highest exponent prime factors of 7825 and 7830. First we will calculate the prime factors of 7825 and 7830.

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

Prime Factorization of 7830


2 7830
3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 7830 are 2, 3, 5,29. Prime factorization of 7830 in exponential form is:

7830 = 21×33×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7825 and 7830.

LCM(7825,7830) = 21×33×52×291×3131
LCM(7825,7830) = 12253950

Factors of 7825

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

1, 5, 25, 313, 1565, 7825

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830

Least Common Multiple of 7825 and 7830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7825 and 7830, than apply into the LCM equation.

GCF(7825,7830) = 5
LCM(7825,7830) = ( 7825 × 7830) / 5
LCM(7825,7830) = 61269750 / 5
LCM(7825,7830) = 12253950

Properties of LCM 7825 and 7830

(i) The LCM of 7830 and 7825 is associative

LCM of 7825 and 7830 = LCM of 7830 and 7825

Related Least Common Multiples of 7825

Related Least Common Multiples of 7830

Frequently Asked Questions on LCM of 7825 and 7830

1. What is the LCM of 7825 and 7830?

Answer: LCM of 7825 and 7830 is 12253950.

2. 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.

3. What are the Factors of 7830?

Answer: Factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830. There are 32 integers that are factors of 7830. The greatest factor of 7830 is 7830.

4. How to Find the LCM of 7825 and 7830?

Answer:

Least Common Multiple of 7825 and 7830 = 12253950

Step 1: Find the prime factorization of 7825

7825 = 5 x 5 x 313

Step 2: Find the prime factorization of 7830

7830 = 2 x 3 x 3 x 3 x 5 x 29

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

LCM = 12253950 = 2 x 3 x 3 x 3 x 5 x 5 x 29 x 313

Step 4: Therefore, the least common multiple of 7825 and 7830 is 12253950.