Least Common Multiple (LCM) of 138 and 127
The least common multiple (LCM) of 138 and 127 is 17526.
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 138 and 127?
First, calculate the GCD of 138 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 127 = 1 remainder 11 |
| 2 | 127 ÷ 11 = 11 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 136 | 4488 |
| 115 and 107 | 12305 |
| 199 and 163 | 32437 |
| 101 and 113 | 11413 |
| 103 and 55 | 5665 |