Least Common Multiple (LCM) of 116 and 134
The least common multiple (LCM) of 116 and 134 is 7772.
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 116 and 134?
First, calculate the GCD of 116 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 134 = 0 remainder 116 |
| 2 | 134 ÷ 116 = 1 remainder 18 |
| 3 | 116 ÷ 18 = 6 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 113 | 12204 |
| 159 and 73 | 11607 |
| 48 and 148 | 1776 |
| 152 and 172 | 6536 |
| 32 and 32 | 32 |