Least Common Multiple of 7825 and 7832

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 7832 the smallest integer that is 61285400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7825 and 7832 is 61285400.

LCM(7825,7832) = 61285400

LCM of 7825 and 7832

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

LCM of:
and

Least Common Multiple of 7825 and 7832

LCM of 7825 and 7832 is 61285400

Least common multiple can be found by multiplying the highest exponent prime factors of 7825 and 7832. First we will calculate the prime factors of 7825 and 7832.

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 7832


2 7832
2 3916
2 1958
11 979
89 89
1

Prime factors of 7832 are 2, 11,89. Prime factorization of 7832 in exponential form is:

7832 = 23×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7825 and 7832.

LCM(7825,7832) = 23×52×111×891×3131
LCM(7825,7832) = 61285400

Factors of 7825

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

1, 5, 25, 313, 1565, 7825

Factors of 7832

List of positive integer factors of 7832 that divides 7832 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832

Least Common Multiple of 7825 and 7832 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 7832, than apply into the LCM equation.

GCF(7825,7832) = 1
LCM(7825,7832) = ( 7825 × 7832) / 1
LCM(7825,7832) = 61285400 / 1
LCM(7825,7832) = 61285400

Properties of LCM 7825 and 7832

(i) The LCM of 7832 and 7825 is associative

LCM of 7825 and 7832 = LCM of 7832 and 7825

Related Least Common Multiples of 7825

Related Least Common Multiples of 7832

Frequently Asked Questions on LCM of 7825 and 7832

1. What is the LCM of 7825 and 7832?

Answer: LCM of 7825 and 7832 is 61285400.

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 7832?

Answer: Factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832. There are 16 integers that are factors of 7832. The greatest factor of 7832 is 7832.

4. How to Find the LCM of 7825 and 7832?

Answer:

Least Common Multiple of 7825 and 7832 = 61285400

Step 1: Find the prime factorization of 7825

7825 = 5 x 5 x 313

Step 2: Find the prime factorization of 7832

7832 = 2 x 2 x 2 x 11 x 89

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

LCM = 61285400 = 2 x 2 x 2 x 5 x 5 x 11 x 89 x 313

Step 4: Therefore, the least common multiple of 7825 and 7832 is 61285400.