Least Common Multiple (LCM) of 174 and 170
The least common multiple (LCM) of 174 and 170 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 174 and 170?
First, calculate the GCD of 174 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 170 = 1 remainder 4 |
| 2 | 170 ÷ 4 = 42 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 52 | 728 |
| 187 and 188 | 35156 |
| 102 and 33 | 1122 |
| 13 and 63 | 819 |
| 172 and 12 | 516 |