Least Common Multiple (LCM) of 127 and 66
The least common multiple (LCM) of 127 and 66 is 8382.
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 66?
First, calculate the GCD of 127 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 66 = 1 remainder 61 |
| 2 | 66 ÷ 61 = 1 remainder 5 |
| 3 | 61 ÷ 5 = 12 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 164 | 9020 |
| 153 and 59 | 9027 |
| 175 and 28 | 700 |
| 93 and 110 | 10230 |
| 117 and 75 | 2925 |