Least Common Multiple (LCM) of 158 and 66
The least common multiple (LCM) of 158 and 66 is 5214.
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 158 and 66?
First, calculate the GCD of 158 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 66 = 2 remainder 26 |
| 2 | 66 ÷ 26 = 2 remainder 14 |
| 3 | 26 ÷ 14 = 1 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 150 | 4350 |
| 92 and 84 | 1932 |
| 173 and 59 | 10207 |
| 177 and 142 | 25134 |
| 179 and 165 | 29535 |