Least Common Multiple of 2826 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 2826 and 2832 the smallest integer that is 1333872 that is divisible by both numbers.

Least Common Multiple (LCM) of 2826 and 2832 is 1333872.

LCM(2826,2832) = 1333872

LCM of 2826 and 2832

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

LCM of:
and

Least Common Multiple of 2826 and 2832

LCM of 2826 and 2832 is 1333872

Least common multiple can be found by multiplying the highest exponent prime factors of 2826 and 2832. First we will calculate the prime factors of 2826 and 2832.

Prime Factorization of 2826


2 2826
3 1413
3 471
157 157
1

Prime factors of 2826 are 2, 3,157. Prime factorization of 2826 in exponential form is:

2826 = 21×32×1571

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 2826 and 2832.

LCM(2826,2832) = 24×32×591×1571
LCM(2826,2832) = 1333872

Factors of 2826

List of positive integer factors of 2826 that divides 2826 without a remainder.

1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826

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 2826 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 2826 and 2832, than apply into the LCM equation.

GCF(2826,2832) = 6
LCM(2826,2832) = ( 2826 × 2832) / 6
LCM(2826,2832) = 8003232 / 6
LCM(2826,2832) = 1333872

Properties of LCM 2826 and 2832

(i) The LCM of 2832 and 2826 is associative

LCM of 2826 and 2832 = LCM of 2832 and 2826

Related Least Common Multiples of 2826

Related Least Common Multiples of 2832

Frequently Asked Questions on LCM of 2826 and 2832

1. What is the LCM of 2826 and 2832?

Answer: LCM of 2826 and 2832 is 1333872.

2. What are the Factors of 2826?

Answer: Factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826. There are 12 integers that are factors of 2826. The greatest factor of 2826 is 2826.

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 2826 and 2832?

Answer:

Least Common Multiple of 2826 and 2832 = 1333872

Step 1: Find the prime factorization of 2826

2826 = 2 x 3 x 3 x 157

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 = 1333872 = 2 x 2 x 2 x 2 x 3 x 3 x 59 x 157

Step 4: Therefore, the least common multiple of 2826 and 2832 is 1333872.