Least Common Multiple (LCM) of 27 and 158
The least common multiple (LCM) of 27 and 158 is 4266.
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 27 and 158?
First, calculate the GCD of 27 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 158 = 0 remainder 27 |
| 2 | 158 ÷ 27 = 5 remainder 23 |
| 3 | 27 ÷ 23 = 1 remainder 4 |
| 4 | 23 ÷ 4 = 5 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 141 | 5217 |
| 198 and 107 | 21186 |
| 135 and 11 | 1485 |
| 91 and 137 | 12467 |
| 51 and 98 | 4998 |