Least Common Multiple (LCM) of 154 and 163
The least common multiple (LCM) of 154 and 163 is 25102.
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 163?
First, calculate the GCD of 154 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 163 = 0 remainder 154 |
| 2 | 163 ÷ 154 = 1 remainder 9 |
| 3 | 154 ÷ 9 = 17 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 198 | 17622 |
| 110 and 58 | 3190 |
| 186 and 65 | 12090 |
| 73 and 68 | 4964 |
| 76 and 186 | 7068 |