Least Common Multiple (LCM) of 174 and 179
The least common multiple (LCM) of 174 and 179 is 31146.
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 179?
First, calculate the GCD of 174 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 179 = 0 remainder 174 |
| 2 | 179 ÷ 174 = 1 remainder 5 |
| 3 | 174 ÷ 5 = 34 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 166 | 12284 |
| 122 and 123 | 15006 |
| 167 and 193 | 32231 |
| 105 and 191 | 20055 |
| 130 and 47 | 6110 |