Least Common Multiple (LCM) of 154 and 194
The least common multiple (LCM) of 154 and 194 is 14938.
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 194?
First, calculate the GCD of 154 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 194 = 0 remainder 154 |
| 2 | 194 ÷ 154 = 1 remainder 40 |
| 3 | 154 ÷ 40 = 3 remainder 34 |
| 4 | 40 ÷ 34 = 1 remainder 6 |
| 5 | 34 ÷ 6 = 5 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 106 | 11766 |
| 45 and 92 | 4140 |
| 148 and 57 | 8436 |
| 158 and 172 | 13588 |
| 24 and 132 | 264 |