Least Common Multiple (LCM) of 118 and 179
The least common multiple (LCM) of 118 and 179 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 118 and 179?
First, calculate the GCD of 118 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 179 = 0 remainder 118 |
| 2 | 179 ÷ 118 = 1 remainder 61 |
| 3 | 118 ÷ 61 = 1 remainder 57 |
| 4 | 61 ÷ 57 = 1 remainder 4 |
| 5 | 57 ÷ 4 = 14 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 175 | 34825 |
| 143 and 189 | 27027 |
| 123 and 138 | 5658 |
| 91 and 159 | 14469 |
| 30 and 49 | 1470 |