Least Common Multiple of 7819 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 7819 and 7825 the smallest integer that is 61183675 that is divisible by both numbers.

Least Common Multiple (LCM) of 7819 and 7825 is 61183675.

LCM(7819,7825) = 61183675

LCM of 7819 and 7825

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

LCM of:
and

Least Common Multiple of 7819 and 7825

LCM of 7819 and 7825 is 61183675

Least common multiple can be found by multiplying the highest exponent prime factors of 7819 and 7825. First we will calculate the prime factors of 7819 and 7825.

Prime Factorization of 7819


7 7819
1117 1117
1

Prime factors of 7819 are 7,1117. Prime factorization of 7819 in exponential form is:

7819 = 71×11171

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 7819 and 7825.

LCM(7819,7825) = 52×71×3131×11171
LCM(7819,7825) = 61183675

Factors of 7819

List of positive integer factors of 7819 that divides 7819 without a remainder.

1, 7, 1117, 7819

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 7819 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 7819 and 7825, than apply into the LCM equation.

GCF(7819,7825) = 1
LCM(7819,7825) = ( 7819 × 7825) / 1
LCM(7819,7825) = 61183675 / 1
LCM(7819,7825) = 61183675

Properties of LCM 7819 and 7825

(i) The LCM of 7825 and 7819 is associative

LCM of 7819 and 7825 = LCM of 7825 and 7819

Related Least Common Multiples of 7819

Related Least Common Multiples of 7825

Frequently Asked Questions on LCM of 7819 and 7825

1. What is the LCM of 7819 and 7825?

Answer: LCM of 7819 and 7825 is 61183675.

2. What are the Factors of 7819?

Answer: Factors of 7819 are 1, 7, 1117, 7819. There are 4 integers that are factors of 7819. The greatest factor of 7819 is 7819.

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 7819 and 7825?

Answer:

Least Common Multiple of 7819 and 7825 = 61183675

Step 1: Find the prime factorization of 7819

7819 = 7 x 1117

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 = 61183675 = 5 x 5 x 7 x 313 x 1117

Step 4: Therefore, the least common multiple of 7819 and 7825 is 61183675.