Least Common Multiple (LCM) of 178 and 174
The least common multiple (LCM) of 178 and 174 is 15486.
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 174?
First, calculate the GCD of 178 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 174 = 1 remainder 4 |
| 2 | 174 ÷ 4 = 43 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 154 | 20790 |
| 139 and 39 | 5421 |
| 144 and 144 | 144 |
| 127 and 192 | 24384 |
| 161 and 99 | 15939 |