Least Common Multiple (LCM) of 27 and 133
The least common multiple (LCM) of 27 and 133 is 3591.
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 133?
First, calculate the GCD of 27 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 133 = 0 remainder 27 |
| 2 | 133 ÷ 27 = 4 remainder 25 |
| 3 | 27 ÷ 25 = 1 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 117 | 234 |
| 158 and 156 | 12324 |
| 174 and 48 | 1392 |
| 99 and 97 | 9603 |
| 129 and 36 | 1548 |