Least Common Multiple (LCM) of 133 and 171
The least common multiple (LCM) of 133 and 171 is 1197.
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 171?
First, calculate the GCD of 133 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 171 = 0 remainder 133 |
| 2 | 171 ÷ 133 = 1 remainder 38 |
| 3 | 133 ÷ 38 = 3 remainder 19 |
| 4 | 38 ÷ 19 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 145 | 3770 |
| 141 and 199 | 28059 |
| 54 and 138 | 1242 |
| 41 and 57 | 2337 |
| 167 and 115 | 19205 |