Least Common Multiple (LCM) of 137 and 171
The least common multiple (LCM) of 137 and 171 is 23427.
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 171?
First, calculate the GCD of 137 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 171 = 0 remainder 137 |
| 2 | 171 ÷ 137 = 1 remainder 34 |
| 3 | 137 ÷ 34 = 4 remainder 1 |
| 4 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 89 | 4005 |
| 143 and 46 | 6578 |
| 17 and 46 | 782 |
| 142 and 146 | 10366 |
| 87 and 97 | 8439 |