Least Common Multiple (LCM) of 133 and 168
The least common multiple (LCM) of 133 and 168 is 3192.
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 168?
First, calculate the GCD of 133 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 168 = 0 remainder 133 |
| 2 | 168 ÷ 133 = 1 remainder 35 |
| 3 | 133 ÷ 35 = 3 remainder 28 |
| 4 | 35 ÷ 28 = 1 remainder 7 |
| 5 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 108 | 5292 |
| 115 and 147 | 16905 |
| 109 and 169 | 18421 |
| 119 and 37 | 4403 |
| 15 and 76 | 1140 |