LCM of 2645:
To find the LCM of 2645, we need to follow certain steps:

Step 1: Prime Factorization of 2645
We need to find the prime factors of 2645. To do that, we can divide 2645 by the smallest prime number, which is 2. We keep dividing the result by the smallest prime number until we get a quotient that cannot be divided any further.

2645 ÷ 2 = 1322 R 1
1322 ÷ 2 = 661 R 0
661 is a prime number, so we stop here.

Therefore, the prime factorization of 2645 is 5 × 7 × 19.

Step 2: LCM Formula
The formula for LCM is LCM(a,b) = (a × b) / GCF(a,b), where GCF(a,b) is the greatest common factor of a and b.

Step 3: Finding LCM
Since 2645 is a single number, we cannot find the GCF. Therefore, we can use the following method to find the LCM.

LCM(2645) = 2645 × 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1
LCM(2645) = 2645

Therefore, the LCM of 2645 is 2645.

Conclusion:
The LCM of 2645 is 2645, which is the number itself since 2645 is a prime number and cannot be divided by any other number other than 1 and itself.