Least Common Multiple (LCM) of 170 and 95
The least common multiple (LCM) of 170 and 95 is 3230.
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 95?
First, calculate the GCD of 170 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 95 = 1 remainder 75 |
| 2 | 95 ÷ 75 = 1 remainder 20 |
| 3 | 75 ÷ 20 = 3 remainder 15 |
| 4 | 20 ÷ 15 = 1 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 99 | 5544 |
| 67 and 11 | 737 |
| 186 and 152 | 14136 |
| 101 and 174 | 17574 |
| 87 and 40 | 3480 |