Least Common Multiple (LCM) of 127 and 84
The least common multiple (LCM) of 127 and 84 is 10668.
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 84?
First, calculate the GCD of 127 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 84 = 1 remainder 43 |
| 2 | 84 ÷ 43 = 1 remainder 41 |
| 3 | 43 ÷ 41 = 1 remainder 2 |
| 4 | 41 ÷ 2 = 20 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 19 | 323 |
| 23 and 60 | 1380 |
| 174 and 92 | 8004 |
| 123 and 150 | 6150 |
| 98 and 146 | 7154 |