Least Common Multiple (LCM) of 127 and 133
The least common multiple (LCM) of 127 and 133 is 16891.
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 127 and 133?
First, calculate the GCD of 127 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 133 = 0 remainder 127 |
| 2 | 133 ÷ 127 = 1 remainder 6 |
| 3 | 127 ÷ 6 = 21 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 125 | 19125 |
| 58 and 64 | 1856 |
| 128 and 112 | 896 |
| 151 and 78 | 11778 |
| 64 and 128 | 128 |