Least Common Multiple (LCM) of 119 and 133
The least common multiple (LCM) of 119 and 133 is 2261.
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 119 and 133?
First, calculate the GCD of 119 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 133 = 0 remainder 119 |
| 2 | 133 ÷ 119 = 1 remainder 14 |
| 3 | 119 ÷ 14 = 8 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 74 | 13986 |
| 71 and 44 | 3124 |
| 193 and 100 | 19300 |
| 10 and 200 | 200 |
| 10 and 57 | 570 |