Least Common Multiple (LCM) of 178 and 186
The least common multiple (LCM) of 178 and 186 is 16554.
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 186?
First, calculate the GCD of 178 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 186 = 0 remainder 178 |
| 2 | 186 ÷ 178 = 1 remainder 8 |
| 3 | 178 ÷ 8 = 22 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 145 | 11455 |
| 40 and 114 | 2280 |
| 125 and 90 | 2250 |
| 119 and 35 | 595 |
| 96 and 65 | 6240 |