Least Common Multiple (LCM) of 178 and 170
The least common multiple (LCM) of 178 and 170 is 15130.
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 178 and 170?
First, calculate the GCD of 178 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 170 = 1 remainder 8 |
| 2 | 170 ÷ 8 = 21 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 81 | 2835 |
| 68 and 119 | 476 |
| 125 and 147 | 18375 |
| 137 and 140 | 19180 |
| 133 and 181 | 24073 |