Least Common Multiple (LCM) of 66 and 158
The least common multiple (LCM) of 66 and 158 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 66 and 158?
First, calculate the GCD of 66 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 158 = 0 remainder 66 |
| 2 | 158 ÷ 66 = 2 remainder 26 |
| 3 | 66 ÷ 26 = 2 remainder 14 |
| 4 | 26 ÷ 14 = 1 remainder 12 |
| 5 | 14 ÷ 12 = 1 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 37 | 4144 |
| 109 and 28 | 3052 |
| 145 and 178 | 25810 |
| 113 and 183 | 20679 |
| 30 and 30 | 30 |