Least Common Multiple (LCM) of 95 and 134
The least common multiple (LCM) of 95 and 134 is 12730.
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 95 and 134?
First, calculate the GCD of 95 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 134 = 0 remainder 95 |
| 2 | 134 ÷ 95 = 1 remainder 39 |
| 3 | 95 ÷ 39 = 2 remainder 17 |
| 4 | 39 ÷ 17 = 2 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 100 | 4300 |
| 143 and 197 | 28171 |
| 152 and 27 | 4104 |
| 113 and 100 | 11300 |
| 195 and 195 | 195 |