# What is the LCM of 2601 and 2616?

The LCM (Least Common Multiple) of 2601 and 2616 is the least number which is exactly divisible by the numbers 2601 and 2616.

## Answer: LCM of 2601 and 2616 is 2268072

Look at the two methods shown below to find the LCM of 2601 and 2616.

**Explanation:**

The two methods that we are using to find the least common multiple of 2601 and 2616 are shown below.

- LCM of 2601 and 2616 by Formula
- LCM of 2601 and 2616 by Common Division Method

### Method1: LCM of 2601 and 2616 by Formula

We will use the formula of LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Use this formula to find the LCM of 2601 and 2616.

LCM (2601, 2616) = (2601 × 2616) / HCF (2601, 2616)

= 6804216 / 3

= 2268072

Here, 2268072 is the least common multiple of 2601 and 2616.

### Method2: LCM of 2601 and 2616 by Common Division Method

Follow the steps mentioned below to find the LCM of 2601 and 2616 by the common division method.

**Step 1:** Write the numbers 2601 and 2616 horizontally by separating them with a comma.

**Step 2:** Choose the smallest prime number that divides at least any one of them.

**Step 3: **Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring it down directly.

**Step 4:** We will stop it when we don't have a prime number to divide the given numbers.

**Step 5:** Least common multiple of 2601 and 2616 will be the product of primes by which we have divided.

By using any of the above methods, the answer to LCM of 2601 and 2616 is the same.