Least Common Multiple of 2552 and 2557

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 2557 the smallest integer that is 6525464 that is divisible by both numbers.

Least Common Multiple (LCM) of 2552 and 2557 is 6525464.

LCM(2552,2557) = 6525464

LCM of 2552 and 2557

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

LCM of:
and

Least Common Multiple of 2552 and 2557

LCM of 2552 and 2557 is 6525464

Least common multiple can be found by multiplying the highest exponent prime factors of 2552 and 2557. First we will calculate the prime factors of 2552 and 2557.

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 2557


2557 2557
1

Prime factors of 2557 are 2557. Prime factorization of 2557 in exponential form is:

2557 = 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 2552 and 2557.

LCM(2552,2557) = 23×111×291×25571
LCM(2552,2557) = 6525464

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 2557

List of positive integer factors of 2557 that divides 2557 without a remainder.

1, 2557

Least Common Multiple of 2552 and 2557 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 2557, than apply into the LCM equation.

GCF(2552,2557) = 1
LCM(2552,2557) = ( 2552 × 2557) / 1
LCM(2552,2557) = 6525464 / 1
LCM(2552,2557) = 6525464

Properties of LCM 2552 and 2557

(i) The LCM of 2557 and 2552 is associative

LCM of 2552 and 2557 = LCM of 2557 and 2552

Related Least Common Multiples of 2552

Related Least Common Multiples of 2557

Frequently Asked Questions on LCM of 2552 and 2557

1. What is the LCM of 2552 and 2557?

Answer: LCM of 2552 and 2557 is 6525464.

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 2557?

Answer: Factors of 2557 are 1, 2557. There are 2 integers that are factors of 2557. The greatest factor of 2557 is 2557.

4. How to Find the LCM of 2552 and 2557?

Answer:

Least Common Multiple of 2552 and 2557 = 6525464

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 2557

2557 = 2557

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

LCM = 6525464 = 2 x 2 x 2 x 11 x 29 x 2557

Step 4: Therefore, the least common multiple of 2552 and 2557 is 6525464.