Least Common Multiple (LCM) of 137 and 145
The least common multiple (LCM) of 137 and 145 is 19865.
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 137 and 145?
First, calculate the GCD of 137 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 145 = 0 remainder 137 |
| 2 | 145 ÷ 137 = 1 remainder 8 |
| 3 | 137 ÷ 8 = 17 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 164 | 9348 |
| 163 and 100 | 16300 |
| 156 and 13 | 156 |
| 99 and 155 | 15345 |
| 181 and 17 | 3077 |