Least Common Multiple (LCM) of 170 and 37
The least common multiple (LCM) of 170 and 37 is 6290.
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 37?
First, calculate the GCD of 170 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 37 = 4 remainder 22 |
| 2 | 37 ÷ 22 = 1 remainder 15 |
| 3 | 22 ÷ 15 = 1 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 80 | 2800 |
| 20 and 46 | 460 |
| 150 and 74 | 5550 |
| 87 and 120 | 3480 |
| 127 and 42 | 5334 |