Least Common Multiple (LCM) of 196 and 137
The least common multiple (LCM) of 196 and 137 is 26852.
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 137?
First, calculate the GCD of 196 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 137 = 1 remainder 59 |
| 2 | 137 ÷ 59 = 2 remainder 19 |
| 3 | 59 ÷ 19 = 3 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 80 | 10640 |
| 87 and 94 | 8178 |
| 183 and 37 | 6771 |
| 71 and 108 | 7668 |
| 191 and 125 | 23875 |