Least Common Multiple (LCM) of 170 and 187
The least common multiple (LCM) of 170 and 187 is 1870.
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 187?
First, calculate the GCD of 170 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 187 = 0 remainder 170 |
| 2 | 187 ÷ 170 = 1 remainder 17 |
| 3 | 170 ÷ 17 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 84 | 2100 |
| 198 and 63 | 1386 |
| 101 and 65 | 6565 |
| 146 and 37 | 5402 |
| 99 and 50 | 4950 |