Least Common Multiple (LCM) of 197 and 70
The least common multiple (LCM) of 197 and 70 is 13790.
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 197 and 70?
First, calculate the GCD of 197 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 70 = 2 remainder 57 |
| 2 | 70 ÷ 57 = 1 remainder 13 |
| 3 | 57 ÷ 13 = 4 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 145 | 15370 |
| 96 and 112 | 672 |
| 160 and 43 | 6880 |
| 191 and 148 | 28268 |
| 115 and 174 | 20010 |