Least Common Multiple (LCM) of 196 and 154
The least common multiple (LCM) of 196 and 154 is 2156.
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 154?
First, calculate the GCD of 196 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 154 = 1 remainder 42 |
| 2 | 154 ÷ 42 = 3 remainder 28 |
| 3 | 42 ÷ 28 = 1 remainder 14 |
| 4 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 52 | 1508 |
| 193 and 36 | 6948 |
| 81 and 116 | 9396 |
| 115 and 145 | 3335 |
| 24 and 159 | 1272 |