Least Common Multiple (LCM) of 170 and 73
The least common multiple (LCM) of 170 and 73 is 12410.
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 73?
First, calculate the GCD of 170 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 73 = 2 remainder 24 |
| 2 | 73 ÷ 24 = 3 remainder 1 |
| 3 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 89 | 4806 |
| 135 and 106 | 14310 |
| 16 and 79 | 1264 |
| 63 and 87 | 1827 |
| 10 and 55 | 110 |