Least Common Multiple (LCM) of 133 and 158
The least common multiple (LCM) of 133 and 158 is 21014.
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 158?
First, calculate the GCD of 133 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 158 = 0 remainder 133 |
| 2 | 158 ÷ 133 = 1 remainder 25 |
| 3 | 133 ÷ 25 = 5 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 156 | 17628 |
| 123 and 133 | 16359 |
| 194 and 57 | 11058 |
| 79 and 60 | 4740 |
| 171 and 75 | 4275 |