Least Common Multiple (LCM) of 157 and 196
The least common multiple (LCM) of 157 and 196 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 157 and 196?
First, calculate the GCD of 157 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 196 = 0 remainder 157 |
| 2 | 196 ÷ 157 = 1 remainder 39 |
| 3 | 157 ÷ 39 = 4 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 23 | 368 |
| 115 and 97 | 11155 |
| 58 and 60 | 1740 |
| 14 and 82 | 574 |
| 121 and 68 | 8228 |