Least Common Multiple of 2545 and 2552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2545 and 2552 the smallest integer that is 6494840 that is divisible by both numbers.

Least Common Multiple (LCM) of 2545 and 2552 is 6494840.

LCM(2545,2552) = 6494840

LCM of 2545 and 2552

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

LCM of:
and

Least Common Multiple of 2545 and 2552

LCM of 2545 and 2552 is 6494840

Least common multiple can be found by multiplying the highest exponent prime factors of 2545 and 2552. First we will calculate the prime factors of 2545 and 2552.

Prime Factorization of 2545


5 2545
509 509
1

Prime factors of 2545 are 5,509. Prime factorization of 2545 in exponential form is:

2545 = 51×5091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2545 and 2552.

LCM(2545,2552) = 23×51×111×291×5091
LCM(2545,2552) = 6494840

Factors of 2545

List of positive integer factors of 2545 that divides 2545 without a remainder.

1, 5, 509, 2545

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

Least Common Multiple of 2545 and 2552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2545 and 2552, than apply into the LCM equation.

GCF(2545,2552) = 1
LCM(2545,2552) = ( 2545 × 2552) / 1
LCM(2545,2552) = 6494840 / 1
LCM(2545,2552) = 6494840

Properties of LCM 2545 and 2552

(i) The LCM of 2552 and 2545 is associative

LCM of 2545 and 2552 = LCM of 2552 and 2545

Related Least Common Multiples of 2545

Related Least Common Multiples of 2552

Frequently Asked Questions on LCM of 2545 and 2552

1. What is the LCM of 2545 and 2552?

Answer: LCM of 2545 and 2552 is 6494840.

2. What are the Factors of 2545?

Answer: Factors of 2545 are 1, 5, 509, 2545. There are 4 integers that are factors of 2545. The greatest factor of 2545 is 2545.

3. 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.

4. How to Find the LCM of 2545 and 2552?

Answer:

Least Common Multiple of 2545 and 2552 = 6494840

Step 1: Find the prime factorization of 2545

2545 = 5 x 509

Step 2: Find the prime factorization of 2552

2552 = 2 x 2 x 2 x 11 x 29

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

LCM = 6494840 = 2 x 2 x 2 x 5 x 11 x 29 x 509

Step 4: Therefore, the least common multiple of 2545 and 2552 is 6494840.