Least Common Multiple (LCM) of 135 and 118
The least common multiple (LCM) of 135 and 118 is 15930.
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 135 and 118?
First, calculate the GCD of 135 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 118 = 1 remainder 17 |
| 2 | 118 ÷ 17 = 6 remainder 16 |
| 3 | 17 ÷ 16 = 1 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 10 | 1890 |
| 73 and 110 | 8030 |
| 90 and 110 | 990 |
| 85 and 184 | 15640 |
| 45 and 154 | 6930 |