Least Common Multiple of 7825 and 7833

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 7833 the smallest integer that is 61293225 that is divisible by both numbers.

Least Common Multiple (LCM) of 7825 and 7833 is 61293225.

LCM(7825,7833) = 61293225

LCM of 7825 and 7833

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

LCM of:
and

Least Common Multiple of 7825 and 7833

LCM of 7825 and 7833 is 61293225

Least common multiple can be found by multiplying the highest exponent prime factors of 7825 and 7833. First we will calculate the prime factors of 7825 and 7833.

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 7833


3 7833
7 2611
373 373
1

Prime factors of 7833 are 3, 7,373. Prime factorization of 7833 in exponential form is:

7833 = 31×71×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 7825 and 7833.

LCM(7825,7833) = 31×52×71×3131×3731
LCM(7825,7833) = 61293225

Factors of 7825

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

1, 5, 25, 313, 1565, 7825

Factors of 7833

List of positive integer factors of 7833 that divides 7833 without a remainder.

1, 3, 7, 21, 373, 1119, 2611, 7833

Least Common Multiple of 7825 and 7833 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 7833, than apply into the LCM equation.

GCF(7825,7833) = 1
LCM(7825,7833) = ( 7825 × 7833) / 1
LCM(7825,7833) = 61293225 / 1
LCM(7825,7833) = 61293225

Properties of LCM 7825 and 7833

(i) The LCM of 7833 and 7825 is associative

LCM of 7825 and 7833 = LCM of 7833 and 7825

Related Least Common Multiples of 7825

Related Least Common Multiples of 7833

Frequently Asked Questions on LCM of 7825 and 7833

1. What is the LCM of 7825 and 7833?

Answer: LCM of 7825 and 7833 is 61293225.

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 7833?

Answer: Factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833. There are 8 integers that are factors of 7833. The greatest factor of 7833 is 7833.

4. How to Find the LCM of 7825 and 7833?

Answer:

Least Common Multiple of 7825 and 7833 = 61293225

Step 1: Find the prime factorization of 7825

7825 = 5 x 5 x 313

Step 2: Find the prime factorization of 7833

7833 = 3 x 7 x 373

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

LCM = 61293225 = 3 x 5 x 5 x 7 x 313 x 373

Step 4: Therefore, the least common multiple of 7825 and 7833 is 61293225.