Least Common Multiple (LCM) of 154 and 196
The least common multiple (LCM) of 154 and 196 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 154 and 196?
First, calculate the GCD of 154 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 196 = 0 remainder 154 |
| 2 | 196 ÷ 154 = 1 remainder 42 |
| 3 | 154 ÷ 42 = 3 remainder 28 |
| 4 | 42 ÷ 28 = 1 remainder 14 |
| 5 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 38 | 6878 |
| 10 and 157 | 1570 |
| 169 and 14 | 2366 |
| 184 and 107 | 19688 |
| 65 and 52 | 260 |