Least Common Multiple (LCM) of 102 and 127
The least common multiple (LCM) of 102 and 127 is 12954.
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 102 and 127?
First, calculate the GCD of 102 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 127 = 0 remainder 102 |
| 2 | 127 ÷ 102 = 1 remainder 25 |
| 3 | 102 ÷ 25 = 4 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 154 | 13398 |
| 38 and 83 | 3154 |
| 120 and 165 | 1320 |
| 113 and 114 | 12882 |
| 29 and 51 | 1479 |