Least Common Multiple (LCM) of 118 and 185
The least common multiple (LCM) of 118 and 185 is 21830.
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 185?
First, calculate the GCD of 118 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 185 = 0 remainder 118 |
| 2 | 185 ÷ 118 = 1 remainder 67 |
| 3 | 118 ÷ 67 = 1 remainder 51 |
| 4 | 67 ÷ 51 = 1 remainder 16 |
| 5 | 51 ÷ 16 = 3 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 58 | 2842 |
| 146 and 200 | 14600 |
| 174 and 52 | 4524 |
| 87 and 55 | 4785 |
| 57 and 75 | 1425 |