Least Common Multiple (LCM) of 118 and 63
The least common multiple (LCM) of 118 and 63 is 7434.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 118 and 63?
First, calculate the GCD of 118 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 63 = 1 remainder 55 |
| 2 | 63 ÷ 55 = 1 remainder 8 |
| 3 | 55 ÷ 8 = 6 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 48 | 1488 |
| 93 and 111 | 3441 |
| 191 and 63 | 12033 |
| 87 and 172 | 14964 |
| 117 and 109 | 12753 |