Least Common Multiple (LCM) of 170 and 87
The least common multiple (LCM) of 170 and 87 is 14790.
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 87?
First, calculate the GCD of 170 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 87 = 1 remainder 83 |
| 2 | 87 ÷ 83 = 1 remainder 4 |
| 3 | 83 ÷ 4 = 20 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 11 | 1122 |
| 97 and 138 | 13386 |
| 102 and 126 | 2142 |
| 11 and 121 | 121 |
| 188 and 100 | 4700 |