Least Common Multiple (LCM) of 179 and 186
The least common multiple (LCM) of 179 and 186 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 179 and 186?
First, calculate the GCD of 179 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 186 = 0 remainder 179 |
| 2 | 186 ÷ 179 = 1 remainder 7 |
| 3 | 179 ÷ 7 = 25 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 64 | 2880 |
| 170 and 121 | 20570 |
| 34 and 99 | 3366 |
| 113 and 168 | 18984 |
| 63 and 55 | 3465 |