Least Common Multiple (LCM) of 136 and 196
The least common multiple (LCM) of 136 and 196 is 6664.
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 136 and 196?
First, calculate the GCD of 136 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 196 = 0 remainder 136 |
| 2 | 196 ÷ 136 = 1 remainder 60 |
| 3 | 136 ÷ 60 = 2 remainder 16 |
| 4 | 60 ÷ 16 = 3 remainder 12 |
| 5 | 16 ÷ 12 = 1 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 120 | 600 |
| 200 and 174 | 17400 |
| 138 and 23 | 138 |
| 97 and 134 | 12998 |
| 42 and 59 | 2478 |