Least Common Multiple (LCM) of 138 and 137
The least common multiple (LCM) of 138 and 137 is 18906.
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 137?
First, calculate the GCD of 138 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 137 = 1 remainder 1 |
| 2 | 137 ÷ 1 = 137 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 42 | 714 |
| 110 and 105 | 2310 |
| 141 and 188 | 564 |
| 173 and 165 | 28545 |
| 108 and 190 | 10260 |