Least Common Multiple (LCM) of 170 and 90
The least common multiple (LCM) of 170 and 90 is 1530.
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 90?
First, calculate the GCD of 170 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 90 = 1 remainder 80 |
| 2 | 90 ÷ 80 = 1 remainder 10 |
| 3 | 80 ÷ 10 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 118 | 5546 |
| 173 and 11 | 1903 |
| 38 and 137 | 5206 |
| 36 and 80 | 720 |
| 131 and 170 | 22270 |