Least Common Multiple (LCM) of 196 and 157
The least common multiple (LCM) of 196 and 157 is 30772.
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 196 and 157?
First, calculate the GCD of 196 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 157 = 1 remainder 39 |
| 2 | 157 ÷ 39 = 4 remainder 1 |
| 3 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 151 | 18422 |
| 167 and 200 | 33400 |
| 98 and 171 | 16758 |
| 39 and 171 | 2223 |
| 17 and 71 | 1207 |