Least Common Multiple (LCM) of 133 and 151
The least common multiple (LCM) of 133 and 151 is 20083.
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 151?
First, calculate the GCD of 133 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 151 = 0 remainder 133 |
| 2 | 151 ÷ 133 = 1 remainder 18 |
| 3 | 133 ÷ 18 = 7 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 24 | 2040 |
| 172 and 42 | 3612 |
| 147 and 108 | 5292 |
| 74 and 162 | 5994 |
| 177 and 66 | 3894 |