Least Common Multiple (LCM) of 193 and 70
The least common multiple (LCM) of 193 and 70 is 13510.
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 193 and 70?
First, calculate the GCD of 193 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 70 = 2 remainder 53 |
| 2 | 70 ÷ 53 = 1 remainder 17 |
| 3 | 53 ÷ 17 = 3 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 176 | 13200 |
| 126 and 103 | 12978 |
| 197 and 44 | 8668 |
| 161 and 188 | 30268 |
| 191 and 80 | 15280 |