Least Common Multiple (LCM) of 186 and 179
The least common multiple (LCM) of 186 and 179 is 33294.
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 179?
First, calculate the GCD of 186 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 179 = 1 remainder 7 |
| 2 | 179 ÷ 7 = 25 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 60 | 5340 |
| 113 and 77 | 8701 |
| 12 and 96 | 96 |
| 199 and 35 | 6965 |
| 37 and 88 | 3256 |