Least Common Multiple of 2552 and 2559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2552 and 2559 the smallest integer that is 6530568 that is divisible by both numbers.

Least Common Multiple (LCM) of 2552 and 2559 is 6530568.

LCM(2552,2559) = 6530568

LCM of 2552 and 2559

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

LCM of:
and

Least Common Multiple of 2552 and 2559

LCM of 2552 and 2559 is 6530568

Least common multiple can be found by multiplying the highest exponent prime factors of 2552 and 2559. First we will calculate the prime factors of 2552 and 2559.

Prime Factorization of 2552


2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 2552 are 2, 11,29. Prime factorization of 2552 in exponential form is:

2552 = 23×111×291

Prime Factorization of 2559


3 2559
853 853
1

Prime factors of 2559 are 3,853. Prime factorization of 2559 in exponential form is:

2559 = 31×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 2552 and 2559.

LCM(2552,2559) = 23×31×111×291×8531
LCM(2552,2559) = 6530568

Factors of 2552

List of positive integer factors of 2552 that divides 2552 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552

Factors of 2559

List of positive integer factors of 2559 that divides 2559 without a remainder.

1, 3, 853, 2559

Least Common Multiple of 2552 and 2559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2552 and 2559, than apply into the LCM equation.

GCF(2552,2559) = 1
LCM(2552,2559) = ( 2552 × 2559) / 1
LCM(2552,2559) = 6530568 / 1
LCM(2552,2559) = 6530568

Properties of LCM 2552 and 2559

(i) The LCM of 2559 and 2552 is associative

LCM of 2552 and 2559 = LCM of 2559 and 2552

Related Least Common Multiples of 2552

Related Least Common Multiples of 2559

Frequently Asked Questions on LCM of 2552 and 2559

1. What is the LCM of 2552 and 2559?

Answer: LCM of 2552 and 2559 is 6530568.

2. What are the Factors of 2552?

Answer: Factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552. There are 16 integers that are factors of 2552. The greatest factor of 2552 is 2552.

3. What are the Factors of 2559?

Answer: Factors of 2559 are 1, 3, 853, 2559. There are 4 integers that are factors of 2559. The greatest factor of 2559 is 2559.

4. How to Find the LCM of 2552 and 2559?

Answer:

Least Common Multiple of 2552 and 2559 = 6530568

Step 1: Find the prime factorization of 2552

2552 = 2 x 2 x 2 x 11 x 29

Step 2: Find the prime factorization of 2559

2559 = 3 x 853

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

LCM = 6530568 = 2 x 2 x 2 x 3 x 11 x 29 x 853

Step 4: Therefore, the least common multiple of 2552 and 2559 is 6530568.