Least Common Multiple (LCM) of 154 and 166
The least common multiple (LCM) of 154 and 166 is 12782.
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 166?
First, calculate the GCD of 154 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 166 = 0 remainder 154 |
| 2 | 166 ÷ 154 = 1 remainder 12 |
| 3 | 154 ÷ 12 = 12 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 149 | 18774 |
| 100 and 173 | 17300 |
| 57 and 64 | 3648 |
| 183 and 189 | 11529 |
| 120 and 172 | 5160 |