Least Common Multiple (LCM) of 118 and 183
The least common multiple (LCM) of 118 and 183 is 21594.
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 183?
First, calculate the GCD of 118 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 183 = 0 remainder 118 |
| 2 | 183 ÷ 118 = 1 remainder 65 |
| 3 | 118 ÷ 65 = 1 remainder 53 |
| 4 | 65 ÷ 53 = 1 remainder 12 |
| 5 | 53 ÷ 12 = 4 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 136 | 680 |
| 139 and 108 | 15012 |
| 48 and 131 | 6288 |
| 180 and 129 | 7740 |
| 45 and 44 | 1980 |