Least Common Multiple (LCM) of 34 and 95
The least common multiple (LCM) of 34 and 95 is 3230.
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 34 and 95?
First, calculate the GCD of 34 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 34 ÷ 95 = 0 remainder 34 |
| 2 | 95 ÷ 34 = 2 remainder 27 |
| 3 | 34 ÷ 27 = 1 remainder 7 |
| 4 | 27 ÷ 7 = 3 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 31 | 3627 |
| 183 and 175 | 32025 |
| 117 and 66 | 2574 |
| 38 and 68 | 1292 |
| 136 and 179 | 24344 |