Least Common Multiple of 2540 and 2545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2540 and 2545 the smallest integer that is 1292860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2540 and 2545 is 1292860.

LCM(2540,2545) = 1292860

LCM of 2540 and 2545

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

LCM of:
and

Least Common Multiple of 2540 and 2545

LCM of 2540 and 2545 is 1292860

Least common multiple can be found by multiplying the highest exponent prime factors of 2540 and 2545. First we will calculate the prime factors of 2540 and 2545.

Prime Factorization of 2540


2 2540
2 1270
5 635
127 127
1

Prime factors of 2540 are 2, 5,127. Prime factorization of 2540 in exponential form is:

2540 = 22×51×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2540 and 2545.

LCM(2540,2545) = 22×51×1271×5091
LCM(2540,2545) = 1292860

Factors of 2540

List of positive integer factors of 2540 that divides 2540 without a remainder.

1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540

Factors of 2545

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

1, 5, 509, 2545

Least Common Multiple of 2540 and 2545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2540 and 2545, than apply into the LCM equation.

GCF(2540,2545) = 5
LCM(2540,2545) = ( 2540 × 2545) / 5
LCM(2540,2545) = 6464300 / 5
LCM(2540,2545) = 1292860

Properties of LCM 2540 and 2545

(i) The LCM of 2545 and 2540 is associative

LCM of 2540 and 2545 = LCM of 2545 and 2540

Related Least Common Multiples of 2540

Related Least Common Multiples of 2545

Frequently Asked Questions on LCM of 2540 and 2545

1. What is the LCM of 2540 and 2545?

Answer: LCM of 2540 and 2545 is 1292860.

2. What are the Factors of 2540?

Answer: Factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540. There are 12 integers that are factors of 2540. The greatest factor of 2540 is 2540.

3. 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.

4. How to Find the LCM of 2540 and 2545?

Answer:

Least Common Multiple of 2540 and 2545 = 1292860

Step 1: Find the prime factorization of 2540

2540 = 2 x 2 x 5 x 127

Step 2: Find the prime factorization of 2545

2545 = 5 x 509

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

LCM = 1292860 = 2 x 2 x 5 x 127 x 509

Step 4: Therefore, the least common multiple of 2540 and 2545 is 1292860.