Least Common Multiple (LCM) of 70 and 195
The least common multiple (LCM) of 70 and 195 is 2730.
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 70 and 195?
First, calculate the GCD of 70 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 195 = 0 remainder 70 |
| 2 | 195 ÷ 70 = 2 remainder 55 |
| 3 | 70 ÷ 55 = 1 remainder 15 |
| 4 | 55 ÷ 15 = 3 remainder 10 |
| 5 | 15 ÷ 10 = 1 remainder 5 |
| 6 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 126 | 252 |
| 130 and 41 | 5330 |
| 51 and 136 | 408 |
| 115 and 133 | 15295 |
| 102 and 189 | 6426 |