Least Common Multiple (LCM) of 170 and 137
The least common multiple (LCM) of 170 and 137 is 23290.
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 170 and 137?
First, calculate the GCD of 170 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 137 = 1 remainder 33 |
| 2 | 137 ÷ 33 = 4 remainder 5 |
| 3 | 33 ÷ 5 = 6 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 18 | 954 |
| 198 and 42 | 1386 |
| 114 and 21 | 798 |
| 144 and 95 | 13680 |
| 171 and 105 | 5985 |