# What is the LCM of 63, 70 and 77?

LCM of 63, 70 and 77 would be the smallest number exactly divisible by 63, 70 and 77.

## Answer: LCM of 63, 70 and 77 is 6930

We will explain two methods to find the least common multiple of 63, 70 and 77.

## Explanation

Least Common Multiple of 63, 70 and 77 would be the smallest number which can be exactly divisible 63, 70 and 77 without a remainder.

- LCM of 63, 70 and 77 by Division Method
- LCM of 63, 70 and 77 by Prime Factorization

### Method 1: LCM of 63, 70 and 77 by Division Method

In this division method, we divide 63, 70 and 77 simultaneously with prime numbers and stop it only when we don't have any more prime numbers to divide 63, 70 and 77 any further.

So, the least common multiple of 60 and 80 is given by 2 × 3 × 3 × 5 × 7 × 11 = 6930. This means LCM(63, 70, 77) = 6930

### Method 2: LCM of 63, 70 and 77 by Prime Factorization

**Step 1: **We will express 63, 70 and 77 as the product of their prime factors.

**Step 2: **Write each prime factorization in exponential form.

**Step 3: **LCM of 63, 70 and 77 will be the product of factors with their highest power.