Least Common Multiple (LCM) of 118 and 155
The least common multiple (LCM) of 118 and 155 is 18290.
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 155?
First, calculate the GCD of 118 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 155 = 0 remainder 118 |
| 2 | 155 ÷ 118 = 1 remainder 37 |
| 3 | 118 ÷ 37 = 3 remainder 7 |
| 4 | 37 ÷ 7 = 5 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 141 | 6768 |
| 131 and 155 | 20305 |
| 37 and 36 | 1332 |
| 109 and 84 | 9156 |
| 160 and 163 | 26080 |