Least Common Multiple of 827 and 832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 827 and 832 the smallest integer that is 688064 that is divisible by both numbers.

Least Common Multiple (LCM) of 827 and 832 is 688064.

LCM(827,832) = 688064

LCM of 827 and 832

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

LCM of:
and

Least Common Multiple of 827 and 832

LCM of 827 and 832 is 688064

Least common multiple can be found by multiplying the highest exponent prime factors of 827 and 832. First we will calculate the prime factors of 827 and 832.

Prime Factorization of 827


827 827
1

Prime factors of 827 are 827. Prime factorization of 827 in exponential form is:

827 = 8271

Prime Factorization of 832


2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 832 are 2,13. Prime factorization of 832 in exponential form is:

832 = 26×131

Now multiplying the highest exponent prime factors to calculate the LCM of 827 and 832.

LCM(827,832) = 26×131×8271
LCM(827,832) = 688064

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1, 827

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Least Common Multiple of 827 and 832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 827 and 832, than apply into the LCM equation.

GCF(827,832) = 1
LCM(827,832) = ( 827 × 832) / 1
LCM(827,832) = 688064 / 1
LCM(827,832) = 688064

Properties of LCM 827 and 832

(i) The LCM of 832 and 827 is associative

LCM of 827 and 832 = LCM of 832 and 827

Related Least Common Multiples of 827

Related Least Common Multiples of 832

Frequently Asked Questions on LCM of 827 and 832

1. What is the LCM of 827 and 832?

Answer: LCM of 827 and 832 is 688064.

2. What are the Factors of 827?

Answer: Factors of 827 are 1, 827. There are 2 integers that are factors of 827. The greatest factor of 827 is 827.

3. What are the Factors of 832?

Answer: Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. There are 14 integers that are factors of 832. The greatest factor of 832 is 832.

4. How to Find the LCM of 827 and 832?

Answer:

Least Common Multiple of 827 and 832 = 688064

Step 1: Find the prime factorization of 827

827 = 827

Step 2: Find the prime factorization of 832

832 = 2 x 2 x 2 x 2 x 2 x 2 x 13

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

LCM = 688064 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 827

Step 4: Therefore, the least common multiple of 827 and 832 is 688064.