Least Common Multiple (LCM) of 174 and 178
The least common multiple (LCM) of 174 and 178 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 174 and 178?
First, calculate the GCD of 174 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 178 = 0 remainder 174 |
| 2 | 178 ÷ 174 = 1 remainder 4 |
| 3 | 174 ÷ 4 = 43 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 96 | 3360 |
| 183 and 100 | 18300 |
| 96 and 130 | 6240 |
| 144 and 141 | 6768 |
| 14 and 137 | 1918 |