Least Common Multiple (LCM) of 133 and 119
The least common multiple (LCM) of 133 and 119 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 133 and 119?
First, calculate the GCD of 133 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 119 = 1 remainder 14 |
| 2 | 119 ÷ 14 = 8 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 145 | 16385 |
| 55 and 75 | 825 |
| 117 and 97 | 11349 |
| 49 and 52 | 2548 |
| 75 and 120 | 600 |