Least Common Multiple (LCM) of 179 and 114
The least common multiple (LCM) of 179 and 114 is 20406.
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 114?
First, calculate the GCD of 179 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 114 = 1 remainder 65 |
| 2 | 114 ÷ 65 = 1 remainder 49 |
| 3 | 65 ÷ 49 = 1 remainder 16 |
| 4 | 49 ÷ 16 = 3 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 12 | 324 |
| 126 and 56 | 504 |
| 200 and 10 | 200 |
| 166 and 150 | 12450 |
| 130 and 33 | 4290 |