Least Common Multiple (LCM) of 88 and 186
The least common multiple (LCM) of 88 and 186 is 8184.
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 88 and 186?
First, calculate the GCD of 88 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 186 = 0 remainder 88 |
| 2 | 186 ÷ 88 = 2 remainder 10 |
| 3 | 88 ÷ 10 = 8 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 31 | 2945 |
| 177 and 13 | 2301 |
| 184 and 164 | 7544 |
| 189 and 177 | 11151 |
| 67 and 103 | 6901 |