Least Common Multiple (LCM) of 133 and 27
The least common multiple (LCM) of 133 and 27 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 133 and 27?
First, calculate the GCD of 133 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 27 = 4 remainder 25 |
| 2 | 27 ÷ 25 = 1 remainder 2 |
| 3 | 25 ÷ 2 = 12 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 164 | 7052 |
| 94 and 103 | 9682 |
| 187 and 119 | 1309 |
| 86 and 10 | 430 |
| 152 and 13 | 1976 |