Least Common Multiple (LCM) of 179 and 118
The least common multiple (LCM) of 179 and 118 is 21122.
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 118?
First, calculate the GCD of 179 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 118 = 1 remainder 61 |
| 2 | 118 ÷ 61 = 1 remainder 57 |
| 3 | 61 ÷ 57 = 1 remainder 4 |
| 4 | 57 ÷ 4 = 14 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 62 | 7254 |
| 54 and 51 | 918 |
| 176 and 51 | 8976 |
| 180 and 58 | 5220 |
| 37 and 134 | 4958 |