Least Common Multiple (LCM) of 154 and 164
The least common multiple (LCM) of 154 and 164 is 12628.
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 164?
First, calculate the GCD of 154 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 164 = 0 remainder 154 |
| 2 | 164 ÷ 154 = 1 remainder 10 |
| 3 | 154 ÷ 10 = 15 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 52 | 3796 |
| 78 and 153 | 3978 |
| 193 and 86 | 16598 |
| 32 and 36 | 288 |
| 45 and 157 | 7065 |