Least Common Multiple (LCM) of 186 and 88
The least common multiple (LCM) of 186 and 88 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 186 and 88?
First, calculate the GCD of 186 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 88 = 2 remainder 10 |
| 2 | 88 ÷ 10 = 8 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 19 | 3458 |
| 90 and 18 | 90 |
| 33 and 137 | 4521 |
| 41 and 67 | 2747 |
| 182 and 180 | 16380 |