Least Common Multiple (LCM) of 134 and 70
The least common multiple (LCM) of 134 and 70 is 4690.
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 134 and 70?
First, calculate the GCD of 134 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 70 = 1 remainder 64 |
| 2 | 70 ÷ 64 = 1 remainder 6 |
| 3 | 64 ÷ 6 = 10 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 51 | 1938 |
| 26 and 195 | 390 |
| 49 and 105 | 735 |
| 129 and 46 | 5934 |
| 91 and 192 | 17472 |