Least Common Multiple of 2827 and 2832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2827 and 2832 the smallest integer that is 8006064 that is divisible by both numbers.

Least Common Multiple (LCM) of 2827 and 2832 is 8006064.

LCM(2827,2832) = 8006064

LCM of 2827 and 2832

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

LCM of:
and

Least Common Multiple of 2827 and 2832

LCM of 2827 and 2832 is 8006064

Least common multiple can be found by multiplying the highest exponent prime factors of 2827 and 2832. First we will calculate the prime factors of 2827 and 2832.

Prime Factorization of 2827


11 2827
257 257
1

Prime factors of 2827 are 11,257. Prime factorization of 2827 in exponential form is:

2827 = 111×2571

Prime Factorization of 2832


2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 2832 are 2, 3,59. Prime factorization of 2832 in exponential form is:

2832 = 24×31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2827 and 2832.

LCM(2827,2832) = 24×31×111×591×2571
LCM(2827,2832) = 8006064

Factors of 2827

List of positive integer factors of 2827 that divides 2827 without a remainder.

1, 11, 257, 2827

Factors of 2832

List of positive integer factors of 2832 that divides 2832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832

Least Common Multiple of 2827 and 2832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2827 and 2832, than apply into the LCM equation.

GCF(2827,2832) = 1
LCM(2827,2832) = ( 2827 × 2832) / 1
LCM(2827,2832) = 8006064 / 1
LCM(2827,2832) = 8006064

Properties of LCM 2827 and 2832

(i) The LCM of 2832 and 2827 is associative

LCM of 2827 and 2832 = LCM of 2832 and 2827

Related Least Common Multiples of 2827

Related Least Common Multiples of 2832

Frequently Asked Questions on LCM of 2827 and 2832

1. What is the LCM of 2827 and 2832?

Answer: LCM of 2827 and 2832 is 8006064.

2. What are the Factors of 2827?

Answer: Factors of 2827 are 1, 11, 257, 2827. There are 4 integers that are factors of 2827. The greatest factor of 2827 is 2827.

3. What are the Factors of 2832?

Answer: Factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832. There are 20 integers that are factors of 2832. The greatest factor of 2832 is 2832.

4. How to Find the LCM of 2827 and 2832?

Answer:

Least Common Multiple of 2827 and 2832 = 8006064

Step 1: Find the prime factorization of 2827

2827 = 11 x 257

Step 2: Find the prime factorization of 2832

2832 = 2 x 2 x 2 x 2 x 3 x 59

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

LCM = 8006064 = 2 x 2 x 2 x 2 x 3 x 11 x 59 x 257

Step 4: Therefore, the least common multiple of 2827 and 2832 is 8006064.